Yes you'd have better performance with a Ryzen 5 2600 or a Ryzen 5 2600X I guess which are a better match for that card.
As far as games go there are other factors such as at what resolution you want to play and what games you want to play. I suppose by R6S you mean Rainbow Six Siege and I'm guessing you can probably get around 70-80 (maybe even occasional 90) fps if you want to play that game with that graphics card and a Ryzen 5 2600/X at full HD (1920x1080) with graphics settings set to ultra. Maybe around 30-40 fps, give or take, at 2560x1440.
Anything higher than that resolution for that game (at ultra) would not be really playable or 'acceptable' I guess with that setup.
You didn't mention what resolution you play at but if...