Well, at the risk of being told I'm AFU, I'll give it a shot.This might be a new AWs record if we get to the third page without anyone attempting to answer the OP's question whatsoever.
Inclinometers on the bridge (which are mirrored elsewhere as well) are really for the info of the bridge team as regards ship's lateral trim (which can be corrected to a degree), and for making sure you don't exceed standing orders for list when aircraft movement is in progress and you need to turn the ship. I'll throw out "do not exceed 5 degrees list" as a possible LIMFAC for turning the ship significantly while aircraft movement is in progress on the FD. Once you're on FOX CORPEN, and aircraft are in the air, uncorrectable list/roll sorta is what it is. I think the IFLOLS (or whatever) is roll stabilized to about +/- 10 degrees, and beyond that the LSOs might rig MOVLAS. So...the ship's inclinometers have a purpose...the "fine" one for trim and list control; the "coarse" one for noting gross excursions, like those MIDWAY first experienced after the hull blister mods in the late '80s.
That's my $.02. Anyone with significant bridge team experience or LSOs can wade in here, obviously.