Yeah, starcraft is the classic example. 3 distinct playstyles, very different tactics, very different unit functions and production / logistics strategy. I never played 2, but I assume it was cut from the same cloth.
The grand daddy of them all, Dune 2, was its self asymmetric. Production models were identical, but the unique units for each faction really stood out and made them play completely differently
On the other side of the coin, you've got something more like TA or Supreme Commander. The three factions in SC are basically identical, completely symmetric, and (to my tastes) completely boring.
After I explored TA a little deeper, I found lots of little features like the fact that one side's minefields MOVED while another sides did not -- and this was completely undocumented. I came to realize that it had thousands of these little details that made it a RTS aficionado's dream, it was exceptionally nuanced and also exceptionally well balanced --- but it was still totally not the game for me.
Which was a shame, because I bought it *really* wanting to like it.
Edit: Also, FFS, how can you possibly level this sort of critique at a game that is still in active development? Especially the crazy modern kickstarted open beta kind of "we're still taking fan input as we go" kind of development, where the whole thing might pivot on a whim?
Also, Also, isnt this a single player game? How is symmetry or balance even a thing?