GP? I think not.

[Lil' Lavery]

Something I meant to post earlier, but somehow forgot.
The counter-argument is that the points raised by the initial responses (first page or so) we're "cliché" and they've been stated before. The reason you've heard them before is because they have merit. While there is often a certain degree of idealism in these arguments, they have a valid point and are backed by solid logic, and often evidence.
Even though 116 is the NASA HQ team, 116 has never been entirely mentor driven (nor has 116 been entirely student driven). In 2003 116 finished dead last (63rd of 63) at the NASA/VCU Regional, behind a team that never uncrated their robot. 116 doesn't pretend that this was the most fun they've ever had, but they don't regret the experience either. In 2004 116 returned to the NASA/VCU regional and defeated eventual 2004 FIRST Champion Team 435 in the quarter-finals. Let me re-iterate that point. 116 went from placing last place to beating the FIRST Champions in the span of one year.
Even the best can be beat.
Every single "elite" or "superpower" FIRST team I have had the pleasure and privilege of inter-acting with has been extraordinarily gracious and professional. Following a successful and proven design process is not in any means unfair, but rather good engineering. Some have even made their design process and philosophy open to the public (1114 has even posted theirs on their website). Almost any will be willing to talk to you about theirs if you ask them.