"Is said" by who? I've read quite a bit about incubation and hatching, and I haven't seen that. I'd be curious to learn more. (I've had times in the past when I "knew" something but was wrong, so if I'm wrong here I do want to figure that out.)
I know that low humidity definitely can cause the membrane to dry out and get hard after the chick pips the shell. So high humidity keeps the membrane "soft" (the way it was before) rather than letting it get dry. But I haven't heard of it getting softer than the way it started.
The shell gets thinner or weaker during incubation because the chick absorbs some calcium from the shell, but humidity does not seem to make eggshells softer. Even soaking in water does not make them soft.
Yes, that definitely happens. It's pretty well documented in various places.
I see why it would make sense, but I don't think it actually works that way. Even if the shell did get softer, that would not help the yolk sack absorb any faster, or affect any of the other details that make a chick mature enough to hatch.