50 years ago I ironed jeans, dresses, blouses. I've not used an iron for 40 years because the fabrics we have now come out of the dryer mostly wrinkle free. However some fabrics stay wrinkled. Heavy duty 100% cotton jeans may come out of dryer wrinkled. If these jeans are hung to dry they will be very wrinkled.
Most fabrics do not shrink on medium heat. However some 100% cotton jeans fabric that have not been preshrunk before made into jeans will gradually shrink. If the jeans have a harsh texture I would wonder if they will stay wrinkled and shrink and not buy them.
When I was in my 20-30s some styles of Levis were popular. They had buttons instead of zippers. If a person wanted to be wrinkle free they ironed them. I'm in my 70's and haven't seen seriously wrinkled jeans in several decades. Once in awhile I do see heavy, stiff jeans wrinkled. Usually, they soften over time to a softer less wrinkled look when they're dried in a dryer.
When a fabric includes a man made fiber they will not shrink because man made fibers don't shrink. Even a small percentage keeps fabric from shrinking. Now a days it seems almost all fabric has some lycra, also other brands, that help fabric stretch a little bit. They don't wrinkle in the dryer nor do they shrink.
As another mom said, smoothing fabric when warm out of the dryer presses out smaller wrinkles. My grandmother called this finger pressing. She did not have a dryer or an iron, still her clothes were acceptable.
Unless you are particular and want jeans to look pressed, modern fabrics should appear mostly wrinkle free. They won't look ironed. Because people rarely iron jeans, the current look is the in look.
I wonder why you care. If your husband doesn't care, why do you?