No, its all or nothing as regards being objects of abhorrence and wrath, yet love despite this.
Among whom also we all had our conversation in times past in the lusts of our flesh, fulfilling the desires of the flesh and of the mind; and were by nature the children of wrath, even as others. But God, who is rich in mercy, for his great love wherewith he loved us, Even when we were dead in sins, hath quickened us together with Christ, (by grace ye are saved;) (Ephesians 2:3-5) .
For we ourselves also were sometimes foolish, disobedient, deceived, serving divers lusts and pleasures, living in malice and envy, hateful, and hating one another. But after that the kindness and love of God our Saviour toward man appeared, (Titus 3:3-4)
John MacArthur, one of the better contemporary Bible teachers today though a Calvinist and not without fault, says on this,
Can God sincerely love those whom He does not intervene to save?
British Baptist leader Erroll Hulse, dealing with this very question, has written,
How can we say God loves all men when the psalms tell us He hates the worker of iniquity (Ps. 5:5)? How can we maintain that God loves all when Paul says that He bears the objects of His wrath, being fitted for destruction, with great patience (Rom. 9:22)? Even more how can we possibly accept that God loves all men without exception when we survey the acts of God’s wrath in history? Think of the deluge which destroyed all but one family. Think of Sodom and Gomorrah. With so specific a chapter as Romans [1,] which declares that sodomy is a sign of reprobation, could we possibly maintain that God loved the population of the two cities destroyed by fire? How can we possibly reconcile God’s love and His wrath? Would we deny the profundity of this problem? (Erroll Hulse, “The Love of God for All Mankind,” Reformation Today [Nov–Dec 1983], 18–19).
Yet Hulse realizes that if we take Scripture at face value, there is no escaping the conclusion that God’s love extends even to sinners whom He ultimately will condemn. “The will of God is expressed in unmistakable terms,” Hulse writes. “He has no pleasure in the destruction and punishment of the wicked” (Ez. 18:32; 33:11). Hulse also cites Matthew 23:37, where Jesus weeps over the city of Jerusalem, then says, “We are left in no doubt that the desire and will of God is for man’s highest good, that is his eternal salvation through heeding the gospel of Christ.” (Ibid., 21–22)
It is crucial that we accept the testimony of Scripture on this question, for as Hulse points out,
We will not be disposed to invite wayward transgressors to Christ, or reason with them, or bring to them the overtures of the gospel, unless we are convinced that God is favorably disposed to them. Only if we are genuinely persuaded that He will have them to be saved are we likely to make the effort. If God does not love them it is hardly likely that we will make it our business to love them. Especially is this the case when there is so much that is repulsive in the ungodliness and sinfulness of Christ-rejecters. (Ibid., 18)
Biblically, we cannot escape the conclusion that God’s benevolent, merciful love is unlimited in extent. He loves the whole world of humanity. This love extends to all people in all times. It is what Titus 3:4 refers to as “the kindness of God our Savior and His love for mankind.” God’s singular love for the elect quite simply does not rule out a universal love of sincere compassion—and a sincere desire on God’s part to see every sinner turn to Christ. - https://www.gty.org/library/questions/QA193/does-god-love-whom-he-does-not-save
And contrary to the premise that conveying God's hatred of sin and thus properly to the sinner is opposed to conveying His love for the same, in upholding the holiness and justice of God and the thus need for His mercy, and showing His unconditional love toward sinners, no less than the revivalist Jonathan Edwards preaches in his most famous sermon (read in monotone voice),
The God that holds you over the pit of hell, much as one holds a spider, or some loathsome insect over the fire, abhors you, and is dreadfully provoked: his wrath towards you burns like fire; he looks upon you as worthy of nothing else, but to be cast into the fire; he is of purer eyes than to bear to have you in his sight; you are ten thousand times more abominable in his eyes, than the most hateful venomous serpent is in ours. You have offended him infinitely more than ever a stubborn rebel did his prince; and yet it is nothing but his hand that holds you from falling into the fire every moment. It is to be ascribed to nothing else, that you did not go to hell the last night; that you were suffered to awake again in this world, after you closed your eyes to sleep. And there is no other reason to be given, why you have not dropped into hell since you arose in the morning, but that God’s hand has held you up. There is no other reason to be given why you have not gone to hell, since you have sat here in the house of God, provoking his pure eyes by your sinful wicked manner of attending his solemn worship. Yea, there is nothing else that is to be given as a reason why you do not this very moment drop down into hell...
Many are daily coming from the east, west, north and south; many that were very lately in the same miserable condition that you are in, are now in a happy state, with their hearts filled with love to him who has loved them, and washed them from their sins in his own blood, and rejoicing in hope of the glory of God. How awful is it to be left behind at such a day! To see so many others feasting, while you are pining and perishing! To see so many rejoicing and singing for joy of heart, while you have cause to mourn for sorrow of heart, and howl for vexation of spirit! How can you rest one moment in such a condition? Are not your souls as precious as the souls of the people at Suffield, where they are flocking from day to day to Christ? - SINNERS IN THE HANDS OF AN ANGRY GOD by the Jonathan Edwards A Sermon Preached at Enfield, July 8th, 1741: https://www.blueletterbible.org/Comm/edwards_jonathan/Sermons/Sinners.cfm
A most excellent post though Calvinists rarely have any faults. ;O)
If I may add something that is often overlooked in God’s salvation; while God may love and sincerely offer His salvation to all men, the truth of the matter is that men hate God. We find this in Romans, “though they knew God they did not honor him...” among many other places in scripture. Moses tells the Israelites in Deut 30-32 that though the commandments are not hard to keep they will not keep them. Men love the darkness rather than the light (John 1).
So God isn’t predisposed to love us when we constantly hate and revile Him. He hates our deliberate and willful disobedience to all that is good and loving and holy. And who can really blame Him? It is ONLY because of His grace that He changes the hearts of any of us for we all are a very wicked people.
I will not be easily convinced that God has any love left for the person who yields up his physical life, expecting annihilation of the soul and spirit rather than an excruciating eternal death. The basis is the indication from Genesis 6:3 (AV):
"And the LORD said, My spirit shall not always strive with man, for that he also is flesh:
yet his days shall be an hundred and twenty years."
Man was created to have continual fellowship with the Eternal God and His Son; but (subsequent to the fall and the entrance of sin and death) there is apparently a limit to which God will patiently suffer rejection of His plan of salvation, and that is the point at which the soul is parted from the earthly corruptible flesh body.
The discussion needs to consider this phase of the human existence, setting the sphere of redeemability to one side, which is the only one the responders here seem to be focusing on, to the neglect of God's disposition to those who have left this life with their relationship to Him unrepaired.