Yep, 1 joint for the jaw and additional controls for ther lips…based on your picture I would also add 2 on the center ( up and down ) lips and don’t forget you need to setup the lip roll.
From what I’ve seen nowdays most facial rigs are joint based with additional correctives on top of it, just to enhance/adjust some poses, but it also depends what your character needs to do.
Games like The Last of Us bet 100% on emotional response based on character expressions so I strongly suggest to check if a fully featured rig on the Bear dude is going to be used quite a bit or just for 2 cutscene.