I don't believe the two are related.
Jobs wanted to call the original Mac the "Bicycle" at one point in time, but everyone else refused to go along with it so he dropped the idea.
That particular piece seems to be a logo to something called the "Mac University Consortium". I can't find any further information on it then that, but I don't think it was the logo for Jobs' Bicycle idea- I don't think he was using that name long enough for anyone to bother creating a logo for it.
-SC