Flight Safety's experience is consistent with mine. The way U.S. Navy contracts were written with the manufacturers was that the simulator would fly like a specific tail number aircraft. This aircraft was generally the flying qualities test aircraft that had had tons of data collected on it's flying qualities and the simulator was expected to fly like the data. This data to build sims is rather different than the traditional flying qualities data in many ways and was contentious in many cases.
I would seriously question the notion that in the civil world the simulator would have a tail number like an aircraft, if for no other reason than tail numbers, like number/license plates,are assigned to aircraft, not parts.
Parts used in simulators that are unmodified real aircraft parts would have to be maintained like real aircraft parts and carry the same documentation. In practice I do not believe this works out very well in that in the first place many of the "actual aircraft" parts used in simulators didn't pass muster to go in aircraft anyway and in the second if they are not maintained all along and have ADs incorporated etc. (which costs more) there is a "gap" in the pedegree of the part which makes it a suspected unapproved part and when the weight of the paper equals the weight of the end item you may, if you get enough signatures, be able to use the part. But don't bet on it.