The BHs are super well put together cars but they feel pretty dated now whereas the BPs don't feel outdated at all.
Also the BH H6 is not the same as the BP one, it only has a single exhaust port on the heads, goes reasonably well but the proper 3.0 is way better.
We towed a 15ft boat around for quite a while with a BP Outback and it had no issue with it.
p.s. every Hyundai we've owned, or my friends have owned, has been a complete f***ing lemon. God knows why we were silly enough to buy a second one, I guess we thought the first one being a turd was just unlucky rather than them being systemically s***. My mate thought a diesel Santa Fe would make a good cheap tow rig, and it was, right up until the gearbox gave up on life just outside of Methven on a family roadtrip around the south island.