I had my wheels swapped and when the dealer performed the swap, they removed (or at least loosened) the bolts that fastened the beauty rings to the rims. All of the beauty rings were still attached to the rims, but the bolts were all loose.
I thought it was odd. I didn't see the dealer remove the tires from my Sasquatch wheels, so I didn't know if the rings needed to be removed or if they were taking precautions so their apparatus wouldn't damage the beauty rings. Three of the five trim rings were already damaged while driving off-road, so maybe they thought they were doing me a favor. I'm not sure if this helps, but it's what happened in my case.
* Double-check your lug nuts using a torque wrench (set to 100 lbs.); don't assume the installer will do it. 😉
Chris here. I drive a 2-door Velocity Blue 2023 Ford Bronco Badlands with Sasquatch, Lux, a 2.7L V6, and an automatic transmission. It’s fun.