I think there is a lot of confusion on this one. Myself included. I'll try and explain. I'm goofy (right foot forward) so keep that in mind.
If I come in to the wake h/s and put my head on my trailing shoulder or peck (left side of the rope)...that's a mexican backroll.
If I come into the wake h/s, pop, pull the rope to my waist, put my head on my lead peck or shoulder (right side of the rope) and the board rotates rail over rail...that's an improperly thrown H/S front flip and is nothing. Sucks cause I can land this trick.
If I come in to the wake h/s, pop, put my right ear on my right shoulder and get the board to rotate nose over tail, that's a properly thrown H/S front flip....that I can't do
If I come into the wake, turn my shoulders parallel to the wake, let go with my trailing hand, put my head to the middle of my chest, and rotate rail over rail (like a tantrum but opposite rotation), that's a h/s frontroll.
Am I right, does that make since? They do this (I can't remember the rider) both in Monkey on String and My House.