Wow, this is an interesting discussion. If you had asked Daniel and I two years ago what BH was we would have said pretty much what is said on the wiki page for BH:
A blindsolving method based on the use of 3-cycle algorithms. The fundamental idea behind the BH method is to use pre-memorized, move optimal, commutator 3-cycles for all possible 3-cycles starting from a fixed buffer location. For pieces where orientation is defined, the position and orientation of pieces are solved simultaneously.
Perhaps Haiyan's method, speed optimized BH, or move optimal BH are all variations of some larger meta-method? I would include all of Classic Pochmann, M2/R2, TuRBo, and also big cube center U2 methods in this too.
I don't know what the meta method would be called, but the core ideas behind it seem to be:
1) Braindeadedness - no thinking or ad-libbing whatsoever. Every case must have a pre-determined algorithm to solve it. You can use commutator concepts and intuition to come up with this algorithm on the fly so to speak, but you must essentially use the same algorithm(s) for each and every case.
-----side point-----
This point seems hard to phrase, as I would argue that beginner/intermediate level freestyle would not count in this meta-method. However, truly expert level freestyle cubers would eventually develop patterns and always solve certain cycles the same way. This essentially makes their method merge into a variant of this meta method.
-----side point-----
2) Pieces are solved via direct solving, there is no step that only orients pieces. The only exception to this is correctly permuted, but disoriented, pieces. Even Daniel might dispute this, as he sometimes uses commutator 3-cycles instead of commutator mono-flips to solve these cases.
3) Either 1 or 2 pieces are solved with the execution of each step or algorithm.
What does everyone thing about expanding our nomenclature for BLD cubing with some sort of meta method? I think this might be a better solution to the problem? Or at least this post will let us open up the discussion to some new ideas perhaps?
Chris