The Dremel has a spinning head. Power carvers have a reciprocating head.
See the tooltips in the picture, they don't look anything like Dremel tooltips:
Using a Dremel is not the same as Hand Carving.
The methods are completely different (I lack the English vocabulary for the differences, sorry), one produces flakes, the other produces dust. Also, the outcome of the surface is completely different, with the Dremel producing a (microscopically) "torn" surface, carving producing an "intact" one. The Dremel will also change the wood and close tiny pores in the surface, carving won't. Unfortunately, I really can't explain this very well in English, but both methods are definitely not considered anywhere near equal.
That doesn't mean that one is necessarily superior to the other (although carving is definitely considered more challenging and much more time consuming).
They're just not the same and a professional wood worker would know the difference and never, ever claim to be carving when he's in fact doing a milling job.