Your examples are absurd because they don't square with reality as we all know it.
Dude I was in the US coast Guard. I have been a rescue swimmer, and I have spoken with firemen who have gone in.
so I am using reality as an example
stop thinking you have it all figured out
On 9/11 when the twin towers were burning, did all the brave first responders get on their huge foghorns to get a show of hands from all the trapped victims inside the towering inferno? Again, is that what the Good Samaritan did when he rescued the half-dead man? Or when Jesus cured the blind man from birth in Jn 9? Or when God rescued the helpless Israelites from Pharaoh's hand?
They went to find them,, when they found them.. if the person resisted or said no.. then they would not have been rescued.
Your issue is you do not understand,, some people do not think they need saved (see the pharisees)
some people think they do not need to be saved (see the licentious)
others do not want to be saved (see the athiest)
some think they can save themselves (see the pharisees or religious perosn tryign to work their way to heaven)
in all these cases, when the rescuer comes. They will resist the rescuer.
its not that the rescuer cannot save them, he can
Its not the rescuer does not want to. He does
Its that he will not force people who do not want to be saved, to recieve his help
that is why they see and do not believe nor ask God to rescue them, because they do not see their situation or condition.
It does not mean God did not show it to them. Jesus spoke to them outright
as John said, He came into his own, and his own received him not
where they prevented from seeing him
or did they see, but not believe. because of pride.