Just saw (for the 40th time) the Omega Glory tonight. I didn't remember this but at one point early in the episode Galloway tells Kirk that "all" four shuttles are still in the hanger deck. I think that is another nail in the coffin that the nuEnterprise is much larger based at least on the 10-20 shuttles in the hanger deck on the nuEnterprise as opposed to get ole TOS Enterprise.
Sorry, but that doesn't cut it.
1) The number of shuttles in TOS does not dictate the JJ-verse number of shuttles.
2) It's not the number of shuttles per se, but the relative SIZE of the shuttles compared to the shuttle bay door and structure that the critical calculations were taken from.