That seems kinda too idealistic view of the world.
I know much more people who, if not directly forced, would let the dishes or basically any environment around them completely mould and break down before even considering cleaning up even just the mess they have left behind, than people who altruistically do clean up after themselves and others.

I do agree that living in a cleaner and nicer society should be enough of a motivation and for some it is, but there’s not enough of us.

We can already observe it in many public spaces where trash gets left laying around even if trash cans are available or public bathrooms or showers or my favorite example in the gym where plates get constantly left on the machines and cable attachments just piled up wherever those fell.