I think you're right; the room depth in both those setups may not be too dissimilar after all!
Perhaps the Transporter Room which Space-Lincoln materialises in doesn't fit the set either?
Here is another angle from MM which confirms that there is only the "door wall" panel adjacent to the angled wall with the mini-scanner on it (above the guard on the left).
Interestingly; 7 episodes before Space-Lincoln turned up the Transporter Room set was configured like this:
The wall with the mini-scanner angles toward the T-platform even more severely and the back wall is noticeably closer to the main console (than in
Savage Curtain), meaning that the whole area might just fit correctly!