I'm less concerned about what Case calls their 'carbon steel' - be it either CV or 1095 - and more influenced by what they do with it, in terms of sourcing a pure version of the steel (for fewer defects) and heat-treating the steel after the fact. It has 'clicked' in my mind many times over the last few years, that the purity of the steel and the heat treat will make the greater difference in edge fineness and edge-holding. I say this, because one of the best examples of 1095 I've seen is from Schrade USA - and one of the absolute worst examples of 1095 came from another maker (to be unnamed). Each behaved radically differently, in spite of both of them being called '1095'.
Schrade USA was known to treat their 1095 to somewhere near or even above 60 HRC - but their blades still retained a beautiful springy temper and were also ground very thin. The result were blades that were both very easy to sharpen on simple stones and still had great edge-holding. The worst example of 1095 I've seen was in a knife that showed edge-rolling under pressure from the edge of my thumbnail, after many resharpenings. I realized after comparing these two, it doesn't particularly matter what the source steel is called. It's mostly about the quality of manufacture & execution of heat treat, after the fact. I'd commented about that disparity in the quality of 1095 years ago here on the forum and received a reply from an experienced maker explaining that 1095 is known to vary widely in quality at manufacture, due to big differences in purity at least. So-called '1095' is a recipe that's been replicated by countless foundries for decades, and each different producer can introduce a lot of quality issues, either good or bad. And then that raw steel goes to thousands of different uses and manufacturers with predictably 'unpredictable' results as well.
Same could be said for 420HC - Both Case and Buck Knives have done well with it for many of the same reasons, resulting in blades that take a fine edge due to good purity, good heat treat and nicely thin grinds. Case similarly did very well with their CV - and I'm sure it's for the same reasons. But others may not do so well with the same as-named steel.
So to me, it really doesn't matter if a maker says they're going to use 'CV', '1095', '420HC' or something else - it's still an unknown variable by the name alone. I take it as a given that the result always depends on much more than that, in terms of what they do with it once they have the raw material in their own house.