I'm a bit late replying to this...I know...but I'm just going to ask you PandaMine...did you actually play the original Dawn of War? Eldar were *exactly* as you describe...every unit they had was a very specific hard-counter to certain armour types. Warp Spiders annihilated light infantry. Dark Reapers pwned heavy infantry. Banshees were good at carving up just about anything (except upgraded nobz which were tier 3 back then). Eldar were able to build all three of these units, in addition to rangers, guardians and the farseer, in tier 1.
Guess what? Eldar were still imbalanced. In fact they were even more broken than they are now. As soon as you saw your opponent was eldar, you might as well type "gg" and leave (especially if you were orks cause warp spiders killed them faster than you could blink).
Back then too it didn't show your opponent's race on the loading screen, and bonesingers could teleport from the start of the game. So an eldar player would teleport a bonesinger to your base, see what race you were, then build the appropriate aspect - which were effectively: "counter orks" (ws), "counter SM" (dr) and "counter chaos" (shees).
Also, if you think the TT game is balanced, you are seriously deluding yourself. It's a good thing Relic didn't just copy that balance or the game would be such a horrible mess it would be unplayable. TT is a turn-based game too whereas DoW is real-time - you can't bring across balance rules from one format and expect it to work in the other. DoW also almost totally revolves around player skill and their micro/macro. TT relies on the luck of dice roll.