That's its nickname - too high treehouse. (From here)
I like that the subjective superfluous nature of this tea house is noted in its name. I'm going to try and think of everything in this way - how it is more one thing rather than less another. On another page, its name is "an overly tall hermitage" which is a more elegant way of saying the same thing.
They quote Osamu Ishiyama: it sort of floats out there, a perfect match with current Japan, a country that skipped maturity and slipped right into its twilight days. Only Fujimori, the ultimate amateur who abhors sophistication, could do it.