Generally when someone in the industry uses the term "Carbon Steel" they mean the main alloying element is carbon - eg. the 10 series, L6, 52100, 50100, 5160, 0-1, W-2. These all mostly have Carbon with traces of other elements, or at least nearly the same amount of another alloying element(usually in the 1% range) as they have Carbon.
High speed steels and stainless steels are usually described as such. High speed D2 or M2 can have as much as 7-13% of another alloying element(such as Chromium or Molybdenum). And Stainless generally has at least 13% or more chromium in it. ALL steel has some Carbon in it - otherwise it's not steel.
I haven't really noticed it, but according to CPM's own testing, their stainless steels give as much wear resistance as many carbon steels do. In fact, CPM states their S30V has better wear resistance than D2. M2 is still way up there wen it comes to wear resistance(and I haven't found anything that will actually sharpen that can beat it in my experience). I personally believe carbon steels are extremely easy to sharpen, and prefer them to any stainless I have used. I have seen too many 60HRC stainless blades chip instead of roll. Once an edge chips, it's never hsame until it's reprofiled. Some consider this the nature of the beast. I personally just avoid it as much as I can and stick with Carbon when I can.
WYK