It's slow and I can wipe the map (if choose) before I come close to reach the heavy armours. But I play in small maps against 3 AIs. Larger maps would be still slow but in theory allow to get farther into it?
Nope, finished games on small, medium, and large maps, still have yet to reach the end of a tree before winning.
In fact, on the large map, I didn't even have metal armor when I won