You are not comparing apples with apples, Randalls O1 tool steel is great stuff but the Rockwell hardness tends to be in the mid 50's from what I understand, this makes it easy to field sharpen but will also dull fairly quickly, although a quick strop should get it back to sharp very quickly, the other steels you mention tend to be a higher Rockwell, so the edge will last longer, but take more effort to resharpen when needed.
Randall stainless models tend to be in the mid to high 50's, so should take an edge and hold it longer, might be a better comparison for you, try a model 10, usually 154 cm steel, makes a good edc.