Makes perfect sense, my H never asks although I know he asks the kids what I’m up to, difficult to remain mysterious with that lot. Sort of similar to you, I kept asking how he was etc. and in the main got yes/no/OK type of answers unless it was about work and then he was a bit more forthcoming. So I decided not to ask and I think that’s led him to become even more distant and has created an awkwardness between us.
Pulling back for me has not encouraged him to take the lead at all. Still it’s your H we’re talking about and not mine.
Just a word of warning – try it but watch closely.