It depends. If you were to draw a graph of beakers per turn, I think the pyramids + GL strat would be a line that would shoot up around the time the mdis were built and go up and up and up and then hits its inflection point in the early middle ages, perhaps, and continue to rise but slowly.
The cottage spam line would rise in a gradual, linear fashion from the early game and keep rising at that speed until free speech and then shoot up a bit and continue to rise. Obviously the cottage spam would overtake the mids/gl line at some point, but where would that point be? Free speech? Philosophy? Maybe even later, maybe like around economics or even corporation, or possibly even later than that.
What this means is the person who went mids/GL will get to liberalism first and get rilfes and cannons while the cottage spammer will still be at muskets. Or the mids/GL person will have maces and trebs while the cottage spammer will barely have longbows.