Had my '67 coupe media blasted 1st after removing the exterior trim before I started the restomod 17 years ago. The shop should put down a nice coat of primer after stripping. It will likely be a span of 20 years between when my car was stripped and when the body work and paint takes place.

It IS a good way of knowing right off the bat how bad the sheet metal is and 1) do you want to deal with it and 2) you will know what panels you will be looking to replace.

I learned the hard way on my Trans Am restoration before this current one. The media gets everywhere and if the rest of the car is painted and assembled, you will be dealing with blasting dust for a long time. 2nd, the media can rebound off the shop floor and remove paint from items underneath