Between airlines, I'd fly whoever is cheaper. None of the airports involved are great to connect at. There's also SAS with the SFO-CPH nonstop.

PE, where available longhaul, is all recliners; business class, on the longhauls, is all lie flats with minor differences in privacy/aisle access/claustrophobia. The shorthaul connections are all standard domestic Y, or Y with a blocked middle seat pretending to be domestic F.