There is actually a sound argument behind it, regardless if you agree with it or believe in it.
Let's pretend that god exists and the bible is true. Under that assumption god wants humans to have faith and _choose_ to follow him/her/it, colloquially "if you love someone set them free". If god presents irrefutible evidence to his/her/its existence there would be no room left for choice/faith.
Regardless of your view on the rationality of that, it is part of the true/false teachings of that particular denomination, and within those set parameters I think the logic checks out.
Knowing a god existed would not remove the choice to follow him. If I were presented with irrefutable evidence that the god of the bible existed, I would absolutely not choose to follow him/her/it. The god portrayed by the bible is a petty narcissist who demands that people worship him, while using literally unlimited power to torture and kill people instead of doing anything helpful or responsible. He's also insane, as the only way he can forgive people is to send his son to be brutally murdered. I would not follow such a being even if it existed. Proving a god's existence would definitely not remove the choice of whether to follow a god.
Irrefutable evidence would remove faith (which is not the same as choice). But faith is just pretending you know something instead of admitting you don't know. So again, a god that wants you to pretend to know things you don't is not a being I care to follow.
At best, you've provided a picture of why an insane being might hide its existence, but that doesn't prove whether that being exists or doesn't exist.
It's not a logical argument, and we could go into it blow by blow, but essentially what you're saying is that God doesn't want there to be a logical argument, oh and as to why? That's just a given, which also makes the argument unsound.
Let's pretend that god exists and the bible is true. Under that assumption god wants humans to have faith and _choose_ to follow him/her/it, colloquially "if you love someone set them free". If god presents irrefutible evidence to his/her/its existence there would be no room left for choice/faith.
Regardless of your view on the rationality of that, it is part of the true/false teachings of that particular denomination, and within those set parameters I think the logic checks out.