Look at StarCraft - Zerg are played least, and while I am not up on current balance trends in that game, the last I heard they were doing pretty well.
Since we're drawing parallels to SCII as an example, Zerg would fit the Allies playstyle more or less. They can be rather cheese heavy or just straight up spam and overwhelm. OH would be more Terran, a nice balanced faction with several options available. OKW would be the Protoss, put up with vulnerable Zealots early in order to get to late game beast machines like the Colossus (RIP carrier). Interestingly, Terran and Protoss are the two most played factions. In this comparison, both would fall under the Axis playstyle. Obviously this is an abstract example, but SCII is the most successful and widely known competitive RTS, (excluding MOBAs) so I believe the comparison is a legitimate one.