A load carrying tire with 8/32" of tread depth has nothing to do with running cooler.
The closer to the carcass gets the surface of the tread the hotter it will run when carrying heavy loads. Thats one reason commercial tires carrying heavy loads have thicker treads.
A load carrying tire vs a lite weight race tire. LOL...not even close to the same tire tech.
If the thin 8/32" of tread depth and only a load range E at 80 psi that is a very good reason Jayco switched to a commercial grade 17.5" load G tire for the 16500 lb Pinnacle. Hell the OPs 16500 lb Pinnacle 36FBTS with 4 tires thats 4125 lbs per tire. Dam good reason to go with a commercial grade load G tire.
With the 16" commercial grade all steel ply carcass load G the OP can expect 60k + miles of service. No one gets that kind of mileage from a load carrying tire with only 8/32" of tread depth.
The best reliable/grades of 16"/17.5" commercial grade tires first came out on commercial non rv trailers. Then many tire savy rv folks saw or heard the kind of service they can get out of that brand or that class tire and apply them to their heavy rv trailer....just like Jayco did by going with the much better 17.5" tires vs a boat trailer tire.