The same can be said of most militaristic leaders. Their generals do the tactics.
I am sorry but Mao was one of the most amazing strategist, he knew how to mobilize, where to go, when to hide, when to strike, when to call someone's buff, what to avoid; these were easy to say but you know he came to power when his guerrilla army was down to couple of thousands while being chased closely and he just happen to hit the right note every time since then, grew his army into one million while squeezed between an invading Japan and a hostile Chinese government, and wrestled control from the government that had four million army backed by the U.S. government; that was a very impressive strategist even though he screwed China up later with all his movements.