Yes they should. It's what Relic refers to as asymmetric balance. It's what already set vCoH apart from World in Conflict. The only way to achieve perfect balance would be to give every faction the exact same units with a different paint job. Well, then the maps would be more in everyone's focus, prolly.
What you are stating is basically against everything CoH always was and always should be. Maybe this is the wrong multiplayer game for you.
relic's way of asymmetric balance in CoH2 seems way off maybe they should change it to rock, paper, scissors balance the way World in Conflict does it; all units do the same amount of damage, have the same amount of health but some units are better than others against certain enemies. that sort of thing