I heard the story differently. Wheels are only really useful if you have good enough streets to use them on and building streets is a huge upfront investment. It is also a chicken egg problem - wheels are only useful with streets and streets are only useful for wheels. Without streets you are better of carrying your stuff around than trying to push it around on wheels in natural terrain. That is also why the wheel fi…
The Roman empire made good use for it with their armies (of course, also for trade) and Roman soldiers were mostly on foot and a few on horses.