A while back we had a fairly lively discussion regarding the legal meaning of a fish hooked "in" the mouth, with some saying that the requirement could be met even if the hook entered from outside the mouth, as long as it exited in the mouth. I just watched a somewhat new ADFG video on fishing for Klutina reds, which will hopefully put this issue to rest once and for all. If you watch the video, you will hear the biologist say that "the point of the hook must originate inside the mouth". He further clarifies that fish hooked in a manner which has the point of the hook originating outside the mouth are foul-hooked.
This is what I have been maintaining all along, and I hope the video makes it clear. Remember, this is not a user video, this one is straight from ADFG. I can't think of a clearer description from a more authoritative source.