Got both Chronics and 2010 Anthems (Basically the TC) and both are cool skis.
The Chronic is quicker around the mountain owing to the Sintered base and a little poppier and lighter, I mounted at marked centre and they ride really well, not too directional and skied switch fine with a pretty balanced swing weight. not had a chance to see how they ride at speed yet as I only rode them for a couple of runs before ending myself, but have skied them indoors a bit and they were great to jump and hit rails on.
Anthem/TC is softer and more jibby, bit slower in comparison but not bad (still hit 115kph on them) and not too chattery at speed. Completely symmetrical so rides great switch and has nice even swing weight.
The fact they are a tiny bit heavier made them feel a little more solid under foot.
If you ride a greater % of all mountain go Chronic, if you ride more park get the TC. Both are pretty solid everywhere though, if anyone says you can't ride either in the park, in powder, in the bumps or speeding around the mountain and jibbing they're probably not a very strong skier.
My 2 cents, hope it helps.