Like Pokémon, Monster Hunter is a handheld franchise first and foremost. It's part of its DNA now. The whole game is built around it. Fixed teams, no drop-in, drop-out stuff, and games that are either too long or too short by console standards. A proper, potentially successful console game would require core changes so substantial that the resulting game wouldn't even be Monster Hunter anymore.
It has only become this because Capcom let it.
Having a console focused MH game without the trappings of mobile play and they might have a really damn good game. For one thing, it won't be held back by aging tech. They can make more than 1 MH game but they keep re-hashing 1 version, adding a G on the end and firing it to handhelds.
Outside of better online infrastructure, matchmaking and other things, the core of MH could remain the same. Its about hunting monsters with friends and consoles are better at dong that.