Is one of those the late STID 'refit'?
Sort of. It was first seen in ST'09, in the pull back/flip over shot just after Pike, Kirk and Sulu leave the bridge before the space jump sequence. Then in STID after the Enterprise is sabotaged and stuck in Klingon space (the shot this is from is the longer deleted scene version, with the brightness adjusted) and it's finally on the refitted Enterprise at the end of STID, where shadows hide the distorted apertures.
I suspect when we see the refitted Enterprise in action in ST3, they'll go back to the shorter window with the 2D photo of the bridge, only wheeling out the taller distorted one for composite shots with live-action.