"...They are excellent on music (except I'm a firm believer that NO processor will equal a good 2 channel preamp using music.)"
Well, without getting into digital EQ circuits and such, that assumes that one has an ample quality digital source(s) and or good analog source. If not, it can sound better processing internally (digitally) in a pre/pro, vs. otherwise, yes?
As for Krell vs. Anthem, I concure the Krell is ALWAYS going to be on the neutral side of accurate - which tends to easily be construed as "bright" in a system with some "bright component" in the chain! (it is a SYSTEM, not one single component that makes "a sound")
I would presume the Anthem, then, a little more forgiving of a sound? -maybe slightly recessed in the highs?
I've experience with the otherwise superb Krell 7.1, and find ZERO sonic flaws for what it is. I think it's simply superbly refined for an audio/video process. I've sold and owned Krell over the years, and think their processors are impecable digital pieces. But, it is system matcing, so you should try both brands(lol).
good luck