The one I'm thinking of is when Kirk enters the engine room and gets thrown back to the door because of the reverse effect.
In the scene
you mention all I can see (and I watched it several times) is that Kirk is being thrown to the right
and Scotty falls off his chair to the left
IMHO, this scene is totally inconclusive and would rather indicate a sideways engine room (and even then it would remain inconclusive whether the engine room is to the port or starboard side of the ship).
The decisive scene remains the forward acceleration effect we first see on the bridge (bridge personnel being pushed into their chairs) which is immediately followed by the scene in the engine room where Scotty is pushed to the left, suggesting a bow "cathedral".