We might also note that carving (if not arc-to-arc, then at least the "softer" tails-follow-tips variant) is very useful if your skis, whatever kind they might be, are completely buried, especially if the snow is heavy or "stiff" for some reason. There are many conditions where pivot-and-smear may not work very well, and using tipping and the full 3D (both sidecut and rocker/early rise) ski shape as a multi-faceted tool with many capabilities is very useful, functional and fun.
If you are limited to carving, you're missing out.
If you are limited to pivoting and smearing, you're missing out.
Instructors may not explicitly teach carving as an isolated skill, but they definitely still teach the fundamentals that contribute to carving, because those same fundamentals are useful in powder, crud and park, and on skis with an early rise and a "fun" shape as well as skis with a more traditional camber and sidecut. Note that most modern skis with early rise still have a section in the middle with a more-or-less conventional sidecut.
If you have the skills to go to both ends of the spectrum, you can blend as needed.
You can go almost anywhere with a good pivot and some smearing, but remember, if all you have is a hammer, everything looks like a nail.