The next rules update will change some of the terminology about movement related actions, specifically to clarify this type of situation.
The way we are planning to do it is that Blue Gremlin's teleport ability is not actually a move action; it is something you do "instead of a move action". This means that it counts as a move action for the purposes of what actions you can do in a round, but does not count as a move action for purposes of Suppression Orb, Restrained, etc.
Similarly, the use of the "Climbing" trait counts as a full action for purposes of what actions you can do in a round, but also counts as a move action for purposes of Suppression Orb, Restrained etc. (We don't want it so you can climb while Restrained!)