Shouldn't the bi rocker end up on a forward outside edge? Otherwise I see a Counter or Bracket?
No.
http://www.sk8stuff.com/f_recog/recog_turns_1_foot.htm
I do agree with 'rocker-like choctaws' but rockers and choctaws are fundamentally different in the use of one foot and two foot actions.
Exactly. A "rocker-choctaw" is a sequence of two separate moves. No one is claiming that they're the same thing. You're misunderstanding the nomenclature.