I never did my laundry, or much of any chore, until I moved out of my parents' house. Same for my husband. My kids did a lot more vacuuming and dusting of our house than my husband and I when we were kids, because it's a chore I personally detest, ha.
We all did very well when we moved out. It's not hard to do laundry, or any other chore!
I've spent 15+ years on DCUM and it's always very amusing to see parents try to one-up each other on that topic and claim that it prepares kids to be independent or something. The 3-4 year olds unloading the dishwasher is a particularly ridiculous example I've seen multiple times over the years. There's no learning curve to speak of. I showed my oldest how to work the washer and dryer a week before he went to college, and he never had any trouble. He did practically zero cooking at home, and uses his shared apartment kitchen more than any of his roommates, just by watching YouTube videos for his favorite meals. He keeps an eye on the cleaning schedule of the shared bathroom, and is the only one who brought a vacuum, apparently, and uses it.
I like to run a tight ship at home, and it's easier in terms of household water use and planning if I do the laundry for everyone. We also eat as a family as much as can, and most of the time we parents do the cooking. Kids take leftovers to school.
If your kids want to participate, great. If they're super busy and it stresses them out, there's no reason to force them. They're going to learn rapidly as soon as they need to.