From what you posted on the stats, bite does about 1.85 times as much damage as claw, for only 10 more Focus. Claw has no CD, so obviously it does more DPS, but using bite doesn't outright prevent you from using claw. Every 10 seconds, you use 10 more focus for a base of 55 more damage.
That should lead to a boost to DPS.
My boar has bite and gore, so it's not the same kind of test, but I could try that for myself.