YES- They will scratch and gouge the stock wheels. The shop has taken them off a few times for new brakes and tire rotation. They really f**k up your wheels.
If you take them off and on, be sure to check the clasps. They will work loose. One skin was loose because the shop didn't put the clasps back on right and then fell off the other week somewhere, so I took them all off. What a mess. It took awhile to get all the brake dust and crud off the wheels.
I'll be ordering another set this week because I can't afford a decent set of chrome wheels right now. You can get a set on eBay for $42 now