I'm the lazy one in the relationship! I'm pretty bad at cleaning and my hubs also will nag if I'm not washing it right. I just gave up and avoided doing it, and he just naturally became the default person to wash masks. I think there are other chores to share out in the house, it's give and take. I do the laundry which is idiot proof as he hates the job of hanging clothes to dry.
Maybe he is too tired to mind this little tasks by himself. Maybe recommendes disposabke mask will be good. Just an opinion