Indeed. There are 100+ skis which will absolutely rip if you have the skills to set an edge. There are probably a lot more that won't do great in a high-G carve, just because they're designed to do other things which dictate a different sort of ski.Ah, yes. A lot of the reason width matters is because it is a proxy for the designer's intended use, not because there is anything magical about a few millimeters.
Anything with a sidecut will carve, it's really just a matter of how easy it is to set it on edge, how stable the ski is in a carve (big flappy tips and tails are fun in powder; not so much on hardpack), and whether it will do well at the speeds you're interested in.