I don't think so, as she was the one who suggested it. Evidently by the response it got, nor did anyone but you thus far.
When you put a statement in the form of a question you are making an assertion. When you back it up by something that truly is as vague as your preposition, the irony is not on your side.
Something is specific to an entity when that entity lays claim to it, which is enhanced over time. It may not be an intrinsic connection, but that is the point you made, although, not very well.
If you want one, then make one. I did, and nobody understood it, or they didn't care.
It could be that a better slogan is found, meanwhile we have that. You are not doing your cause a favour by ripping on it. Also, as a result of that we cant have any good ones, because you are actively making the thread a hostile environment, and could even be successful in scaring away the one poster that made, judging from the consensus of constructive feedback, the best suggestion thus far.
Edit: To specify, there is nothing visionary about a school poster, there is no re-thinking or alteration to conventional methods. If you did put that on a school poster, you would be doing so in error, which doesn't reflect badly on its use for the pyra, unless such use is prevalent. I don't know what a school poster is, but i doubt there is a problem you need to address with that.
I think your problem is you lack imagination to see why that slogan is good, because thats what its about, and therein lies the connotation. As can be observed in practice, it does work for those in the know.
For those who arent it could backfire immensly, and the bar is set very high. That is also something quite telling about the project at large, if done right, it even means it accounts for those who do it badly. Which is to say you give yourself one chance and can expect your product to be tarnished otherwise.
As many good logos are wasted on bad projects, a slogan is an extention of that in that it could turn either way. Also, if made extremely nerdy it is not easily understood, and the difference to something quirky is very small. Similarly with a more generic approach the difference may be minute, but the effect is it rises above the rest. I think lollas suggestion was one of those.
Edit: The best slogan ever in my opinion was Nero - burning rom. No duality in the name, but what a waste.