To be fair this is what I do, I always make sure everything is in the dishwasher less than 30 mins after I'm done and no issue.

Then again I have one of those small half size ones that look like a cabinet door.

I do this with the same set of plate(s) and utinsils and rice cooker it's great.

Granted, I cook daily for myself, and I steam everything and avoid oils/grease in general with chicken/fish.

But it's possible, the only issue I have is hard water stains but better than scrubbing it with a sponge.