It's in the description of pretty much every variant of the method in the OP... also, if you remove that and say that you should solve that piece, then this method is just ZZ if you orient the edges in the first step, or CFOP if you don't...
How am I repeating myself? My arguments should be clear from my posts: 1) The main idea of this method (which seems to be extra freedom in the F2L by ignoring one of the cross pieces) is terrible and 2) The so-called variants of the method have absolutely nothing to do with the original ideas and bring nothing new to the table, they're just regular Heise or Petrus solves.
You're basically saying that any solve can be counted as HK. Take a look at this HK-NISS variation solve I did a few days ago for the FMC weekly competition:
Scramble: D2 F2 B' U' F' D' U2 R2 L' D' F L' R2 D' F' L' U' L B2 F
{F U L} // EO
U' L2 F' R2 D' L2 U2 L2 // 2x2x3
{U' * F'} // F2L-1
{F' B U B' U B U2 F B'} // AB3C
*: [R', U L' U']
23 htm!!! Imagine how great this will be for speedsolving