Inertial dampers are how the crew can survive high-g maneuvers, they'd be pinned to the back wall and have their skulls crushed by their own faces if they suddenly went to full impulse or warp without them active.

I'm pretty well convinced that gravity plating has to be negligible power draw or possibly even passive technology, since they've boarded centuries-old derelict ships that still have artificial gravity. Maybe the gravity plating contains some exotic space-warping material that generates a gravity field. That could also explain the times when someone becomes intangible and can walk through walls, but don't fall through the floor.

From a thermodynamical standpoint, the whole Enterprise is something of a mess.

But, hey, if you already have a "Heisenberg-Compensator", also having a "Boltzmann-Compensator" is probably not that implausible... ;-)

IIRC, they use the plasma manifold for the warp nacells to heat the ship like a radiator. I know they use that plasma for more than just the engines, but not 100% on how.

Thermal Radiation, you send it somewhere else. It’s how the sun heats our planet.