All things being equal bigger and stronger wins. What I'm pointing out is that if your big and strong from lifting without other attributes facing a small trained fighter you are going to be in a world of hurt. The other factors are skill, knowledge,power, speed and conditioning. This is often what's missing with guys that just concentrate on power lifting and think they are fighters.
I use to see it all the time when I trained in jui jitsu over 15 years ago. A big guy new to jui jitsu would come in and roll on the mat with a guy he out weighed by 70 pounds and the little guy would submit him over and over again.