I've always gotten the "Mt. Fuji view" and never seen the **** thing.
I think I'd like the view of the Meiji Jingu Shrine. I've never been on that side of the hotel I don't think.
For those trying to book this hotel using pts or FFN, don't give up, keep trying. Inventory seems to shift a lot here --more than most places because of the very small size of the hotel.