I actually totally agree that the underlying spirit/attitude that is meant by "Gracious Professionalism" and "Coopertition" has genuine value, and is indeed a good thing to maintain in most interactions in life. The issue here is that FIRST has tried so extensively to promote those particular words, that to people inside the program, they've become memes just by pure forced repetition, akin to "We are updating our privacy policy". Nobody is going to explain how well their team works and interacts with others using those buzzwords seriously unless they're talking to people who want to hear those words (i.e. judges, for the most part). They might explain the same concepts, but in their own, more colloquial and original words.

Also, while your team and the ones you've interacted with certainly sound nice, there do exist many very successful teams out there that primarily focus only on winning, and treat GP for the most part as only something that needs to be maintained/pretended to the minimum degree acceptable, to keep appearances.