Is there any kind of sub-category to shipping that's all about raw mindless sex? Because I can easily imagine tons of R-rated fan fiction on that subject. Shipmates with benefits
I take it you have yet to read any fan fiction? R? Try lots of NC-17 PWP (that'd be "porn without plot"). As well as other fan fiction based on a solid relationship
I don't see any chemistry between the two characters, but I've got no problem with others shipping it.