I’ve not found this concept in the Bible. I’ve only found proof that God must open our hearts -
Acts 16:14 One of those listening was a woman named Lydia, a dealer in purple cloth from the city of Thyatira, who was a worshiper of God. The Lord opened her heart to respond to Paul’s message.
Makes sense and goes right along with the fact that we’re hostile to God and can’t do a single thing or make a decision to turn ourselves towards God -
Rom 3:9 What shall we conclude them? Are we any better? Not at all! We have already made the charge that Jews and Gentiles alike are all under sin. 10 As it is written: “There is no one righteous, not even one; 11 there is no one who understands, no one who seeks God. 12 All have turned away, they have together become worthless; there is no one who does good, not even one.”
Jn 6:65 He went on to say, “This is why I told you that no one can come to Me unless the Father has enabled him.”
Jn 1:12 Yet to all who received Him, to those who believed in His name, He gave the right to become children of God – 13 children born not of natural descent, nor of human decision or a husband’s will, but born of God.
Jn 6:43 “Stop grumbling among yourselves,” Jesus answered. 44 “No one can come to Me unless the Father who sent me draws him, and I will raise him up at the last day.
Jn 15:16 “You did not choose me, but I chose you, and appointed you, that you should go and bear fruit, and that your fruit should remain, that whatever you ask of the Father in My name, He may give to you.”
Eph 1:11 In Him we were also chosen, having been predestined according to the plan of Him who works out everything in conformity with the purpose of His will, 12 in order that we, who were the first to hope in Christ, might be for the praise of His glory.
Acts 5:31 God exalted Him to his own right hand as Prince and Savior that He might give repentance and forgiveness of sins to Israel.
Eph 2: 8 For it is by grace you have been saved, through faith – and this not from yourselves, it is the gift of God – 9 not by works, so that no one can boast. 10 For we are God’s workmanship, created in Christ Jesus to do good works, which God prepared in advance for us to do.
It’s pretty clear we don’t seek God. God seeks, calls, chooses, enables, and opens our hearts to repent and accept His word. If someone is told they can achieve salvation by asking Jesus into their heart, they’re being deceived.
I would argue that’s the job of the gospel message, which is what God commanded to be preached, not ‘ask Jesus into your heart’. Why change, condense, or simplify when God has already provided the necessary information?