Larry only fights if you mess with his gang. Cornelius wouldn't hurt a fly. As such, an eternal stalemate. If Cornelius DOES mess with Larry's gang, Larry solos.
If he calls the rest of his gang to jump Cornelius (Those being Oopy Goopy, General Muchkin Man, Lil Jimbob, Gub Gub, Senor Beatdown, and Halloween Joe) it's a no diff