They aren't supposed to but it's been known to happen. I haven't had trouble pulling one off a painted wall but one pulled some finish off wood mantle.

Did you paint them? If the paint isn't long-cured, it's bound to be a recipe for damage. Think painters tape on new paint.

If they're factory, Get some touch-up paint from them before you even start, just in case. Frankly, if it improves functionality, do it. How often are you planning to put up and take down those hooks, anyway? Chances are years will pass before you decide or even remember to remove them. By then, they'll have become one with the cabinet, dried to the door and removing them will be time for new doors anyway.

I've put them on my interior cabinet doors without any problems. I've also taken a chunk of drywall off removing them from my wall..... but I think that was because I pulled the strip more out rather than straight down, if that makes sense.

Yes there definitely is a correct way to remove them, by pulling down slowly. I think that helps a lot.

I didn't paint them, but the cabinetmaker did, and not too long ago -- a little over two months ago, IIRC. They are white, a nice paint-booth finish. Yes, the hooks would help functionality greatly, and I only need the tiny ones. Is it too soon, do you think? And thanks much!

Maybe check with the cabinet maker...

Despite claims of no damage when removed, command hooks pulled off paint and damaged drywall when I used them. Never again.