An O1 blade has smaller carbide formations than a blade made from 440b or 154, therefore O1will take a polished edge better than a stainless steel will, however a toothy edge, and stainless having larger carbides due to the amount of chromium has this type of edge (and under a microscope all edges are toothy) can also be very sharp, just cuts in a different way, more like a saw as it rips through the material as opposed to slices (which are also rips, just smaller and closer spaced).
So both get sharp, just different types of sharp, both will be sharper than a sugrigal blades as these are in fact not that sharp, just thin blades,
If your blade feels a little blunt try first making a slice through a bit of hard wood, then giving it a strop with some leather, what you may have is a very thin wire edge and the wood and leather will remove it giving you a pristine edge again.