With the exception of the Limited Run Faded LPs (which basically closed the production of single cut long scale LP basses as started in the nineties before the reintroduction via the oversize models a few years ago), which had the front pups a bit close to the neck TBird style, and the BFG LPs which had three pups, practically forcing one of them to go right behind the neck, LP basses in general have their front pup closer to the bridge than a modern TBird (which in turn has its front pup closer to the neck than any TBird predecessor in the sixties or seventies), it explains why the LPs are more agressive sounding than any TBird, a bit of P Bass "getting heard" in there. And that was a concscious move as there are LP prototypes from the early nineties around that have the front pup moved forward (Phil Jones offered some of them) so Gibson was obviously experimenting with the position. No worries though that an LP (even a non-oversized one) would offer less bass than a TBird, the opposite is true, likely due to the LPs thicker bodies and sturdier necks.
Generally, any single cut LP long scale bass I have played has more of an "axe quality" to it and is "grindier" than any Rev TB I've played. The Rev TBirds are imposing basses for their sheer size and looks but there is always something a bit more benign/docile/graceful (or musical if you want to call it that) to them, not that edge an angry P Bass or Ric 4001/3 can have, TBirds don't sound nasty and edgy. It probably mostly has to do with the thin neck which, eg, the more aggressive sounding Non Rev TBs don't have. And a long scale LP Bass is even more agressive than a Non Rev already is.