Yeah, I like this idea. The feats we have are so poorly balanced, and the number of feats you can pick up so slim, that you're handicapping your characters by not giving them the same handful of meta options again and again. Separating them into a new category would be a fun way of handling this and adding some flavor customisation without nerfing the likes of Alert, Great Weapon Master/Sharpshooter, Savage Attacker, Tavern Brawler, War Caster, Ability Improvement, etc. (I also like the idea of picking up unique disadvantages a la Shadowheart's fear of wolves, if balance is an issue!)