My question would be this: if Wesley is the captain of the Lexington
, why didn't they outfit it with the M-5 while waiting for the Enterprise
to arrive for the war games? Originally, we don't see any starships at the starbase (which was changed in the remastered version).
I think Wesley was, at that point, a desk officer likely in charge of the overall development and testing of M-5. The complete and utter failure of the project is likely why he was a civilian in TAS.