I'm one, and the SO is a Zillennial; neither of us own irons. Just don't see the point. Dryers are fairly effective wrinkle removers, and any remaining creases will eventually come out simply by wearing the clothing.
I iron for the creases!! I understand why many people wouldn't have use for them but I like having crisp collars on button downs and polos and a slight crease to certain khakis
Regardless, delicates get air dried. I live in a "right to dry" state (i.e. it's illegal to ban clotheslines here), but even if I didn't, you can always hang them over the shower rod.