I would not look for those qualities in an amp, but maybe that's just me. Imaging and depth seem more likely related to speakers/acoustics. Warmth could either indicate a frequency response issue, or a lack of distortion, IMO. Can't help with a roller off response, but any of those amps should provide a lot of power, which would hopefully reduce the chance of distortion from clipping.
Not everyone shares my views, of course
I own an XPA-3, and it has been trouble free, except for the first one I got, which was more or less DOA (it did power up, than failed in a big way with sparks and smoke...they promptly sent a new one, even before they got my old one.)
I agree. Any of those would likely suffice. The Anthem is the only one I've actually had of that bunch and I loved it. It's had some glowing reviews for its music capabilties for the price from the "golden ears" boys.
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