I don't actually iron all that much WM, a lot of things are as you say just fine without.
Bb wears short-sleeved shirts or polo shirts mostly for work; some just get hung up but others do need an iron, he has to look vaguely presentable
My t-shirts are mostly not ironed, just the odd one that doesn't look nice without, and a couple of blouses, linen tunics, things like that. Trousers though you usually can't get away with.
I absolutely never iron stuff like bedding, tea towels, underwear, etc