I don't think so...
Someone who trains as a powerbuilder or a weightlifter will almost always be able to lift much heavier weights and will be stronger than an average bodybuilder, even if the bodybuilder is 20 lbs heavier than him...
The theory that the bigger your muscle the more weight you can lift only works if you are both bodybuilders or both powerlifters, anf if you ignore things like genetics, different training techniques, diet, and a whole bunch of other things....
Let's put it this way, ALL other things held constant and unchanging, the bigger your muscles, the stronger you are...
However, it doesnt work that way anymore because of everything I mentioned in my post.