I do it, because it never occurs to him that it needs doing. He just starts wearing my clean clothes when he runs out. I prefer him not to hang it out to dry because he doesn't smooth out the wrinkles and I refuse to own, let alone use, an iron.
He mostly does the shopping, cooking and smelly jobs. I mostly do the dishes and the laundry.
We have a local boatyard with a huge washing machine and equally huge drier. £5 for both including soap, and it take 4 normal sized loads. Heaven! I do that every few weeks when we need sheets and towels doing, and handwash other bits in the meantime. I didn't think I would handwash much, but I found a very easy way to rinse - just build a dam of clothes at the non-plughole end and stick the shower head behind it. The water runs clear remarkably quickly, so it only uses about as much water as a washing machine would.