I am not involved with the supplier side of the steel business so I can't say exactly were any of it is born, but I have been on the consuming end for some time now and I am aware of 3 disinct chemistries being offered. Champalloy, with which I am most familar, offered by
Crucible Service Centers, R.D.S offered by
Carpenter Specialty Steels. and the L6 offered by Admiral, the behavior of which tells me that its chemistry probably does fall within the parameters of 4370.
None of these are better or worse, they just behave different. The idea that the Admiral stuff is in some way inferior is a very unfair judgement. The stuff from Carpenter is probably the stuff that has the most consistancy and predictibility. Champalloy is the richest of the mixes and with the addition of Moly can be the most trying to one who does not have the equipment or the experince to work it. The most common reason I have heard for makers abandoning L6 comes from this.
They may come from differing sources, or they may come for the same mill but when one can austenitize a 1/4" thick section, let it air cool to get a 34-36 HRC, and then heat a 1/2" section of Champalloy, let it air cool for an HRC of 61, I think it is safe to say that chemically they are not all the same. Confusion comes in because Admiral lists Champalloy chemistry for their L6, which I am pretty sure does not have the same deep hardening make up which that chemistry suggests.
For some time I also heard many smiths state that 15n20 was just L6 under another name. We need to remember that just because it has around, .7% carbon and has some nickel, that doesn't necesarrily make it the tool steel we think it is, there is a whole section of the periodic table that can be thrown in as well.