I use command hooks all the time for quilts.
One thing in the very fine print is a recommendation to let the hook adhesive cure for 12 hours before adding weight. It's also important to get the correct side on the wall vs. on the hook.
I've had pretty good results even on textured walls, with one exception-- in our stairwell, way up high. I think it may be because I wasn't able to press the hook firmly against the wall, given that I was trying to put it about 15 feet above me and with no level surface to put a ladder on.
I've actually used just the strips directly on the back of small wallhangings that I want to have lie flush against the wall. No damage to the fabric backing, and they've held up nicely for months thus far.