If you have a dealer repair it, they should do so in conformity with OEM specifications.  The insurance company (depending on the language in the policy) is responsible for paying to restore the trailer to it's pre-accident condition, using factory specified roofing materials.  If the dealer says they can do it, just make sure they put it in writing.  Rather than fretting about what the roofing material is, let the dealer, who already has a relationship with FR, sort that out.  From what has been said so far in this thread, they are going to replace the roof membrane, which will of necessity, require them to source the material from FR or their suppliers.

It is possible that a lawyer can send them a letter threatening a lawsuit to cover damages,  or, your insurance carrier might want to subrogate a claim against the KOA.

If you were on any of the main roads or spaces that are made for RV's, it seems to me those areas should not damage an RV. A low hanging branch on the main road or over an RV space should be removed or trimmed before it damages a customer's vehicle.

If you somehow drifted off the main road or backed up too far, etc, then yes, it could be considered to be your fault.

Might just drive it to Indiana for repairs as I'm not sure that I completely trust the dealer to know what they're doing as opposed to the factory repair center, based on my previous experience.

If it goes to the factory for repair, it will cost less. When we had our accident, the dealer said it was totaled. The factory was able to repair the RPod. Since I had so much time invested in modifications, I opted to get it towed to the factory for repair. I had to go and pick it up as insurance would cover the lower cost of towing to the factory but not the much higher price to get it shipped back. This was because the drivers who deliver them from the factory would normally have to deadhead back to the factory, so anything they can earn on the return trip is better than nothing. However, from Colorado, I am not sure if even that is possible. Ours was towed from NC to Goshen, Indiana. Besides the roof repair, the whole door side needed to be replaced. A lot depends on what the insurance company says.

The problem with the roof is that it is a one-piece membrane. It is not a rubber roof, but is a PVC roof. Repair for that would be different than for a TPA or Rubber roof. Besides, the structural damage to the roof under the PVC visible in the picture means that the repair will be more extensive than just peeling off and putting down a new PVC covering. That damage needs to be repaired also.

"Nothing good happens when you set up camp in the dark"

I scraped the 195's driver-side roof on a rather robust low-hanging branch at the Holbrook, AZ KOA last Friday evening.  Scrape is about 8-10 ft long.

Dealer wants to replace the rubber roof.  Here's a pic of perhaps the worst portion of the damage...repairable?