It will be done wrong. Things will be done in the wrong order etc etc.
Fold the towels, into thirds, wife makes a point of unfolding them and folding them into halves
I achieve the exact same amount both in terms of things done, and tacit dissaproval by doing nothing at all, but with zero effort.
I can't say I see the connection between this issue and OP's issue of her husband asking her "Do you want me to do anything?"
I never asked that question, but my exh still disapproved of how I stacked the dishwater, folded his shirts, put his socks away, did the bins.
Tutting, eye rolling, comments on my technique were an everyday occurrence.
He never redid any of it, mind. He'd just complain.
And if I didn't do it, it didn't get done and he'd complain about it being messy.
So I found it much easier to do it myself as it meant some disapproval, but at a lower level, and with a clean home.
Some men and women use disapproval as a means of control.
Still nothing to do with OP's issue, though. I was going to say exactly the same thing as the last poster: get HIM to do a list.