It is the perfect allegory of salvation...
Someone dead in sins and trespasses...no way of their own volition to come out. Jesus calling to them, then coming forth. Perfect picture, image of salvation. The truth...Christ is the Way, the Truth, the Life, and the Truth..Christ...sets people free...and if freed, they're free indeed...
The premises of Calvinism may fit your analogy, but that is also why they are false.
First, God doesn't command "all men everywhere" to do things that "Calvin" says they cannot do. If God commands men to repent then they have the innate ability to repent regardless of the false premises of Calvinism.
I believe in the depravity of man, but not the Total Inability of man, which is biblically erroneous. Unsaved man is separated from God by sin. That is what makes him dead. He is not dead as in a corpse like Lazarus. The comparison isn't there.
--The definition of death is wrong.
--The definition of depravity is wrong.
--And thus the analogy of the new birth is wrong.
Acts 17:30 And the times of this ignorance God winked at; but now commandeth all men every where to repent:
--At the conclusion of Paul's sermon to these Athenian idolaters, some believed and some didn't. It was the fruit of the preaching of the Word. God did not force anyone to be saved. It was their choice. There is no magic here.
Act 17:32 And when they heard of the resurrection of the dead, some mocked: and others said, We will hear thee again of this matter.
Act 17:33 So Paul departed from among them.
Act 17:34 Howbeit certain men clave unto him, and believed:
--Almost always in NT preaching it is the doctrine of the resurrection that divided and even angered people. (It either made you mad or glad).
They understood. Some in abject disgust rejected that message.
Others "clave to him," and believed. They "affectionately united with him." They were one with Christ. The gospel had changed them, as it had changed Paul. That is what the new birth is all about.