There's a lot more to this than just the idea of destruction and reassembly elsewhere, at even a slightly later moment.

If you walk across the room, you are in a real sense transporting a pattern, but you shouldn't think of the room as some separate non-player arena. The locomotion we're so used to implies a state change across all knowable vectors i.e. 3 directions of "space" and one seemingly quantifiable metric of state change or "time."

Without getting to far into the weeds, what the teletransporter does in contingent upon what it means to faithfully scan and reproduce. It could be that in scanning, which if it were to capture your pattern exactly, spatial temporal location aside, there may be some imposition on the intervening space between you and the "destination." The question really hinges on how this would work.