This is a very cloudy issue with todays high-carbon stainless steels like 440C, ATS-34, 154CM, CPM440V, and S90V(CPM420V). Stainless steels are generally high alloy steels, and in the presence of a lot of carbon, the alloys make carbides that are much harder than the iron carbides in simple carbon steels, thus longer lasting edges.
Certainly, a well heat-treated ATS-34 blade is likely to hold an edge at least as well as a 1075 blade, I would think. Maybe as well as a 1095 blade. Less alloy can mean finer grain size and a finer edge, though there seems to be exceptions to that even outside of the CPM steels. The larger grain size of a high alloy steel can make it cut better on hard materials like wood where a really fine edge has a tendency to skate rather than bite.
Larger grain size, as is the tendency in high-alloy steels, does seem to equate to less strength, but among the premium cutlery steels, carefully heat treated, strength is more a factor of cross-sectional area than it is of steel composition in my opinion. The thinner the tip, the greater its tendency to break or bend.
My favorite steel is still a low alloy tool steel like O-1, 1084, or 52100, differentially heat treated. That's how you get maximum blade performance. S90V is my favorite steel for smaller knives and folders where the extra strength and toughness of a differentially heat treated blade are not required. It hold an edge long time, don't stain much. For a knife that is gonna' be in wet conditions without much maintenance, a well cooked ATS-34 blade is nothing to sneer at either.