Will tesla work with a non-testa arrived body shop?
Would you let a non-tesla approved body shop work on your Tesla?
Yes. Corporate approval does not mean that they are good.
Non approved shops may have trouble getting parts and information from Tesla.
Tesla approved shop means they have went through the proper training to work on Tesla and can do repairs, making the vehicle just like new. Tesla uses a Heaver Aluminum Alloy then traditional car manufactures, meaning they need the different equipment to work on the body panels. In addition you have all the sensors used for AP and FSD features, any error here could be seriously jeopardizing your life.
There are many quality bosy shops that could do repair work and probably do an excellant job, BUT, having a Tesla Approved shop as Techy James posted they should have a understanding of all the little things the Tesla might have that other shops might not know about like clip placement or how to remove panels. Safest bet would be to go to an approved shop I think.
Tesla-approved body shops also know how to recalibrate the AP cameras if required.