The recommended HT for both is virtually the same. What you DON'T want to do is soak it for too short a time, or have poor heat control. If there is any doubt of the steels actual composition (which there often is), just use the mid-line HT I posted.
I have given up arguing that L6 and 15N20 are pretty much the same thing ( which is part of why all big circular saw blades got dubbed L6). Many people argue that they as opposite as 1084 and 52100 .... I don't see the difference as that big.
The chemistry is "close". One has a bit (more*) of chromium, one has a bit less nickel, otherwise they are virtually same. Alloying varies from batch to batch, and foundry to foundry, but the below info is average.
L6 - 0.75C, 1.75Ni, 0.75Cr, 0.40Mn, 0.50Si, .20V*
15N20 - 0.75C, 2.00 Ni, 0.10Cr*, 0.40Mn, 0.30 Si,
* found in some formulations.
Here is a comparison graph:
http://zknives.com/knives/steels/steelgraph.php?nm=15N20,L6&ni=,140&hrn=1&gm=0
( move your cursor over a graph line to see the details)
With the proper HT, both steels will make a great knife. Some feel L6 a bit tougher, some feel 15N20 is finer grained. Personally, I doubt you could tell one steel from the other in a well made knife.