To answer your question - your judgemental family is the problem, not your cleaning. I have my own (pretty loose) cleaning standards, they don't apply to others. If someone invites me to their house, it would have to be pretty dirty before I might say something, and even then more because I might be worried about them.

We do kind of a lot of ongoing maintenance, run the Roomba twice a day and have help - we pay for every other week deep cleaning. But generally speaking yes there is cat hair and dust. We live in the world, the world is made of dirt.