Enteric coating helps with stomach upset but has not been shown to decrease the risk of ulcers caused by NSAIDS.
I think NSAIDS carry a lower risc of ulceration than high dose aspirin but it has been decades since I’ve seen literature regarding the matter.
That said, I find the same thing, Naproxen upsets my stomach more than aspirin or ibuprofen but it seems to vary by individual, my wife tolerates Naproxen better than ibuprofen.
see post 16