01 isn't known for being very compatible with "heat'n'beat" hand-forging techniques. It CAN be done, Randall does it quite well but it's easy to get 'em too brittle. Randall solves that by leaving the Rockwell down around 56 - 58 if I recall right.
Many of the tool steels and better stainlesses like ATS34, BG42 are "one shot only" deals on heat-treating; screw it up and there ain't no way you're ever gonna get it re-normalized and treated properly, the blade is basically scrap. Hence forging is almost always out of the question, and you better be careful at the grinding wheel not to get it too hot or you'll "use up your one shot there" and the heat-treat will riddle it with brittle spots for every spot you cooked on the grinder. Alan Folts talked about grinding ATS34 with bare hands only so he could feel any heat build-up and back the heck off before he cooked the steel.
So unless you know your stuff, 01 can turn brittle. I flat-out wouldn't trust a machine-made production 01 blade, no way in hell.
Mad Dog takes the edge on his stock-removal 01 blades to around 62-63. He's running right up there as high as he can get 'em without brittleness problems, and he mostly succeeds with the *possible* exception of the TUSK...which I don't consider the best critter he makes anyways. The rest are awesome, IMHO, I love my ATAK variant (WSP1).
Anyways...1095 can be ground or forged. Japanese swords were more or less 1060-1084 range steels, with a few minor differences. The 95/84/60 refers to carbon content (60 = .6% carbon, etc.). More carbon equals better edgeholding at the expense of toughness.
I'm a bit surprised there's not a lot of US maker interest in 5160. It may have a poor rep as a "lowly" auto leaf spring steel but HI's kamis swear by the stuff versus railroad track steel (1084ish). It's awesome for big tough blades, forges well, takes a differencial temper pretty easily...nice for any big fighter or sword. Criswell makes some Japanese-influenced big pieces in it, Jim Hrisoulis(sp?) makes Medieval type swords for the RenFaire/SCA scenes in it...don't know of too many others. 5160 is considered a high carbon class that "borders on tool steel territory", sorta like how D2 "borders on stainless without quite getting there".