honestly, i wouldn't.. little bit on the "technical" side for them...
there are a few variables here... the sanding... if you go for just a feathering of the peeled areas, it is generally safer to spot prime that area. the reason being to seal up that feather edge between base and clear.. that is a trouble area. the reason being the reducers in the base your applying to the area will want to lift and cringe that edge.. it can be done, you just need to be aware of it when applying basecoat.. if you prime those areas, it eliminates that issue...
and i wouldn't really want them stripping the clear either.. have to know what your looking at when prepping that way.. the prep of a job like this critical, ie sanding... even when knowing what to look for, sometimes a spot or 2 of primer is recommended..
you could stop by and talk to em armed with that knowledge and see what they have to say... some of the stories i've heard about them have been scary.. i come from a resto shop and highend collision shop so i really hate to see corners cut.... maybe if you sanded it and brought it to them...