General use utility knives here have been getting the 'fine' diamond (red, I dont know the grit) and my chef's knife gets crock'ed and steeled as needed to cut clean through tomatoes. Others for more 'surgical' use get more attention, such as the small blade on my SAK, etc., from hair poppin' and calous thinnin' to OMG I didnt even feel that cut but ain't it a sharp thang! I Like one 'utility' grade blade on my stockman, say the large clip and the two smaller blades at least hair poppin'.
I dont chop with my knives (though I caught my wife choppin' chicken with my chef's; she thought that was what I meant when I said use the cleaver!, silly girl). That took some work to restore the edge......so its mostly 'her' knives that get the red diamond 'stone' treatment.
Ive discovered through use that I tend to like my blades to do well slicing, so too fat a blade or even a convex, though undoubtedly strong, is not my favorite. Those I return to will slice a fine piece from a sausage or onion and dice well. Guess Im a 'slice & dice' guy. If I have to hack or pry on something I look for a different tool than my knife.
I should mention that hair poppin' on my arm isnt at all good enough for shaving sharp for my beard, but I gave up on razors for that long ago and went with power rotary equipment as more convenient for me.