Justin, I use "grappling" and "jujutsu" interchangeably, though some people think "wrestling" when they say grappling. Jujutsu skills can help you pin, lock up or break your opponent's joints, knock him out, etc. In my experience, pretty much all fights end up on the ground, and that's where it helps to know how to "think OFF your feet."
I agree with you about the down side. Even a grappler is vulnerable on the ground. Worst fights I've witnessed were two guys rolling on the ground, and a bunch of one guy's buddies start attacking him with kicks to the head, groin, ribs while he's on top of their friend.