Bah. There are hundreds of chess variants, to name yours chess 2 is extreme misplaced arrogance. And more than likely it has a dominant strategy and is flawed.
I've followed Sirlin for a long, long time. He definitely has a ton of misplaced arrogance (it's arguably his defining feature), but he is extremely good at game balance. I'm sure there are flaws with Chess 2, but I highly doubt that a dominant strategy is one of them.