I am a little confused.
You seem to be saying that “the lake of fire” and Jesus are specifically connected. So far as I can determine “lake of fire” is taken from Revelations which was written well after Jesus’ death.
The idea of a burning hell and a glorious heaven was not invented with the teachings of Christ. It existed in Judaism before His birth.
That said, a “certain preacher” (mmmf mmmf) especially in his younger years has been especially bent on using hell as a “push.” Sometimes that’s God’s plan — but not always! Sometimes it’s not clear to a new Christian the logical end state of they were saved from, until the salvation actually happens.
You seem to be saying that the lake of fire and Jesus are specifically connected. So far as I can determine lake of fire is taken from Revelations which was written well after Jesus death.
The book of Revelation is "The Revelation of Jesus Christ" -- the message given to the Apostle John, by Jesus Christ, to write down...
Revelation Chapter 1 1 The Revelation of Jesus Christ, which God gave Him to show His servants--things which must shortly take place. And He sent and signified it by His angel to His servant John, 2 who bore witness to the word of God, and to the testimony of Jesus Christ, to all things that he saw.
See the very last words in the Bible, at the end of Revelation.
Revelation Chapter 22 16 "I, Jesus, have sent My angel to testify to you these things in the churches. I am the Root and the Offspring of David, the Bright and Morning Star." 17 And the Spirit and the bride say, "Come!" And let him who hears say, "Come!" And let him who thirsts come. Whoever desires, let him take the water of life freely. 18 For I testify to everyone who hears the words of the prophecy of this book: If anyone adds to these things, God will add to him the plagues that are written in this book; 19 and if anyone takes away from the words of the book of this prophecy, God shall take away his part from the Book of Life, from the holy city, and from the things which are written in this book. 20 He who testifies to these things says, "Surely I am coming quickly." Amen. Even so, come, Lord Jesus! 21 The grace of our Lord Jesus Christ be with you all. Amen.