dear justliam:
i actually think that the answer is yes in this case. basically, it's a simple equation: you must build a name and add quality to that. the process, obviously, is simultaneous, but i put that way because there are some mates that forget the quality part...
about that, teaching is only partly related to your piano skills. i know several amazing teacher that either don't concertize or even don't play the piano that well. yes, yes: one must know what he is doing, but the knowledge about teaching itself (ie, pedagogy) is as important as piano playing, and a solid musical background is also fundamental. btw, a general knowledge about the world helps a lot, because teaching (specially in individual or little-group classes) is a human interaction, so a bit of chat is of great help too.
best!