I would think that the shop should know more about radiators rather than the cars they go into...I doubt you find a Pagoda specialist that also repairs radiators.
The "problem" with "recoring" a radiator today, generally speaking, is that "old school" radiator shops are getting harder and harder to find, and that what they typically do is purchase pre-made radiator cores in a size "close enough", braze or solder the new cores to the tanks, and call it a day. But it's not the same... Would you like to guess where a lot of these cores come from?
Gernold Nisius (SL-Tech, Arundel Maine) apparently found someone nearby--old school--that actually builds the radiator cores. So, he has them essentially custom made, and it would be the most wet-behind-the-ear noobie that would question Gernold's rationale. I discussed my cooling problems with Gernold back in 2011 (I had a "recored" radiator from the restorer 10 years prior, it was never right...) and he told me of what he does, how he does it and why. Sure it was
not the least costly solution but I got the radiator back in short order, installed it myself and have not had a problem since. I should note--and this is a common theme on this forum where people complain about how expensive things are--that I paid a bit less than Gernold's price today. If you put off until tomorrow what you need today, the price will be higher, and in some cases much higher...as sure as the sun will set this afternoon.
If you want to try this yourself, or want to work with a shop and a custom core, there are places that will fabricate the core you want:
https://www.thebrassworks.net/radiator-cores.htmlThere are a number of others out there that will custom build a radiator core based upon your size specs.
