I am a manager of a bodyshop, auto painter by trade, and been in the business for 42 years. I'd insist on a licensed appraiser to look at the car and for him to write a legitimate estimate to repair the car conventionally. Meaning, fixing the damage, and painting it, so it is without a doubt, repaired to pre-accident condition. And, that insurance estimate most likely will be lower than a quality body shop estimate will be, because that's what insurance companies do. That's why I suggest to all my customers, to have the car looked at "at" the body shop and come to an agreed figure with the shop, to repair the vehicle.
Then, it's your decision to try PDR or not. It's your car, and you are not held to anything as far as what the insurance estimate says. You can chose "not" to repair it at all, it's your vehicle and it's your paid policy. If the car is financed, then you have to have it repaired. It would only be professional courtesy, if you do decide to PDR it, to play the shop for their estimate and time dealing with the insurance appraiser.
I have had a few classic car repairs done in my shop through American Modern. One most recently, on a 78 Chevy step side PU, they just took my estimate, decided not to send an appraiser out, and sent the payment according to my estimate. Another was my own 34 Ford PU hot rod, and the damage was extensive, so American Modern decided to sent an independent local appraiser and they went with that estimate. Classic car insurance companies don't usually have staff appraisers like Allstate, Progressive, Geico and other normal companies.