NTA, but if it has to be done your way, you should to do it. For example, I can absolutely clean and fold the clothes, but not to the specific level and order of my husband’s preferences. He considers it a punishment when I “help” also. It’s not weaponized incompetence to have different levels of standards for clean.
We’ve come to the compromise when I have less time on my hands, I do less around the house and we hire a maid to help with the chores to his “standards”. When I have more time on my hands, I still don’t do the laundry, but I can and do tackle the chores betters use for my skillset. We both win working to each other’s strengths instead of working on top of each other.