What accusation?
I would accept the idea that a truely repentant believer would pray like a Calvinist, that is, he acknowledges he is a sinner who needs grace.
But the plea of the Gospel is 'whosoever'(Jn.3:16) and no Calvinist can preach that and be consistent with Calvinism.
And no Arminian can preach the Gospel and not preach that man is a condemned sinner going to a real hell (as do the modern neo-evangelicals) and need the saving work of Christ to save them.
Maybe the best way to approach this is stop dividing between 'Calvinist' and 'Arminian' and start looking at Biblical vs non-Biblical views.
You may be aware that Spurgeon's predecessor at the Metropolitan Tabernacle was John Gill, the writer of the one great Baptist commentary. Although Gill was a thorough Calvinist, Gill's commentary, in much the same way as Calvin's, was not particularly Calvinistic but instead a learned commentary filled with information on Hebraisms, variants of scripture phrasing from various ancient versions and historical insights on ancient life among Jews in the Roman Empire. I use it very often for the insights in ancient life.
Yes, I am aware of Gill, Gail Riplinger has noted some of his comments on certain subjects.
, Gill also bragged that in his decades as pastor, he had never once given an altar call. But he was also quite successful, though not to the extent Spurgeon was. Spurgeon is sweeter and easier to love but there is no denying he was a thorough Calvinist and stated it forthrightly on many occasions. While ill and elderly, he fought against the creeping liberalizing Arminian influence among Baptists and English churches in general. Spurgeon lived and died a thorough Calvinist.
No question that Spurgeon was a Calvinist, but his soul winning appeals were not 'Calvnistic', they made individual appeals for the individual to make a personal decision.
My own personal opinion is that we have gone to 'Arminian' on appealing to souls.
The Bible never speaks of asking someone to make a 'decision for Christ'.
We have become enarmored with 'numbers'.
Paul said that he planted, Apollos watered, but God gave the increase (1Cor.3:6), so my view of 'soul-winning' is really more 'Calvinistic' (like Gill) put out the Gospel and let the individual make a decision when they are ready to do so.
I think 'pressing for a decision' (a result of D.L.Moody and Finny) has led to many false professions.
"I offer you salvation this day; the door of mercy is not yet shut, there does yet remain a sacrifice for sin, for all that will accept of the Lord Jesus Christ. He will embrace you in the arms of his love. O turn to him, turn in a sense of your own unworthiness; tell him how polluted you are, how vile, and be not faithless, but believing. Why fear ye that the Lord Jesus Christ will not accept of you? Your sins will be no hindrance, your unworthiness no hindrance; if your own corrupt hearts do not keep you back nothing will hinder Christ from receiving of you. He loves to see poor sinners coming to him, he is pleased to see them lie at his feet pleading his promises; and if you thus come to Christ, he will not send you away without his Spirit; no, but will receive and bless you. O do not put a slight on infinite lovehe only wants you to believe on him, that you might be saved. This, this is all the dear Saviour desires, to make you happy, that you may leave your sins, to sit down eternally with him at the marriage supper of the Lamb. Let me beseech you to come to Jesus Christ; I invite you all to come to him, and receive him as your Lord and Saviour; he is ready to receive you. I invite you to come to him, that you may find rest for your souls. He will rejoice and be glad. He calls you by his ministers; O come unto himhe is labouring to bring you back from sin and from Satan, unto himself: open the door of your hearts, and the King of glory shall enter in. My heart is full, it is quite full, and I must speak, or I shall burst. What, do you think your souls of no value? Do you esteem them as not worth saving? Are your pleasures worth more than your souls? Had you rather regard the diversions of this life, than the salvation of your souls? If so, you will never be partakers with him in glory; but if you come unto him, he will supply you with his grace here, and bring you to glory hereafter; and there you may sing praises and hallelujahs to the Lamb for ever. And may this be the happy end of all who hear me!"Now tell me, is there anything there that any clergyman should have a problem with? Theology be hanged, that is a sweet and scriptural appeal for sinners to trust in Christ alone!