First off, the fact that Matta is a great person is great - I hope all of our coaches are really great people first and foremost - but largely irrelevant to the point of the discussion.
Are we really a traditional basketball school? We're a football school that has a really good basketball team every couple of years. It is what it is. Just enjoy the success on the gridiron, if we get one or two on the hardwood its gravy.
I don't think anything about Ohio State makes me sadder than the fact that this is the prevalent feeling toward basketball among the members of our fanbase. The fact that we're not a traditional roundball "blue blood" is irrelevant. Matta has proven that he can recruit at the same level as Coach K and Coach Cal. Our financial resources are as close to limitless as they get in this business. What do the Blue Bloods have, other than lots of titles and perception, that Ohio State does not? Not one damn thing.
Secondly, the fact that we're a traditional football powerhouse in no way diminishes the fact that we could be every bit as good at basketball. Is basketball a different beast in terms of the postseason structure? Youbetcha. Ball is a streaky game, too, so that matters.
But excusing extreme mediocrity on the basis that "we're a football school" is the cop-out of all cop-outs.