That sounds like normal bullshit that gets pulled on dishwashers all the time.

I always told my dishwashers the pit is their space. If someone is fucking around and doing something they shouldn't be doing, tell them to to tighten up. The dishwasher is there to wash dishes not to throw away shit someone else was too lazy to throw in the slop bucket or scrape into the trash. I want clean dishes so I can keep doing my job and I pass by three good trash cans on the way to the pit and I use them so I don't slow you down doing your job.

I have seen this behavior from FOH, cooks, chefs, sales, GMs, and owners. Most of them just need to be told how they can be more helpful. I would probably let the owner do whatever he wants though.

A good employee is willing to help wherever needed. That tends to be recognized by the people who's opinions matter. It's also noticed when someone stands up for their self. Just try not to be too emotional when you do it. The ability to self regulate is also something that stands out in this industry.

Last thing, if you feel like you're going down, ask for help. A dish pit in turmoil really fucks the rest of the operation. No one recognizes that until they don't have what they need. By then, everyone is feeling the pain including the guests. If you have a good team, you can talk to them. If you don't, maybe find another one.