Yes it will have more beakers but not faster research due to the research penalty that additional cities give. I don't think liberty will ever overtake tradition in tech, thats why you see that the fastest SVs are done with Tradition instead. It might take over uber late, maybe in the t300 times, but it won't be relevant since you are done with the whole tech tree by then probably.
It doesn't take nearly that long, and the more cities you found and actually develop, the faster you will overtake the tradition civs. The real advantage of going wide with liberty is a production advantage though, and in denying real estate (and thus, hammers, among other things) to the other civs.