Um ... I'm kind of on your mom's side here.
Even without the backstory I presume was present, I'm not on Mom's side. If she's dumb enough to "punish" a kid by making them stop a hated chore and start doing something they want to do, she's on her own.
While I don't agree with slamming the dishes around, I can understand why wonderfullyanonymous felt that way. As the oldest sister in a family with a much coddled baby brother, I was frequently told to clean up brother's messes because he "couldn't'" do it himself. Or would possible make a worse mess in the process of "trying" to clean up after himself. (He was inept at cleaning. Inept like a fox.)
I can remember many many occasions when my younger sister and I spent a good chunk of time meticulously cleaning our room, only to be told we weren't done yet. Brother "couldn't clean up his room" because it was too messy. He claimed that it wasn't fair that we had help (each other) while he was all alone. Pointing out that he'd made the mess alone just made my mom angry that we were talking back. So we would clean his room while he laid on his bed and "directed" us by telling us what to keep and throw away. If we complained about him lying around and not helping, Mom would yell to "just get it done!"
My sister and I* cleaned up the kitchen after dinner every night from the time I was 10. Was brother ever required to help? No. When I went away to college, and sister was left doing the dishes alone every night, was brother required to help? NO.
My sister and I did the laundry and ironing. Brother was never required to help. When I went away to college, was brother required to help while sister was washing clothes HE wore to school every day? NO. Did brother wake her up one Saturday morning (her one day to sleep in) to call her a "stupid lazy lump" because he didn't have any clean underwear for some trip he was leaving for in ten minutes? YES. Did my sister get in trouble for jumping out of bed and punching brother in the face? YES.
To this day, my parents don't understand why:
1) Brother is such a slob.
2) Why sister was OVERJOYED to leave for college, so she could scratch household duties from her to-do list, leaving just homework, extracurricular activities and her job on the campus.
3) We don't want to spend much time with brother, who hasn't really changed.
*My mom did plenty of work around the house and the cooking. But she also worked full-time and was in the middle of a very difficult graduate program for most of my teen years. And she wanted sister and I learn to contribute to the household. I honestly think it just took too much effort to get brother to help, so she gave up and put the workload on us.