The end name of the game is having a "Valid Clear title" I you have a clear title with a "id number" on it. And that number is stamped / plated somewhere on the vehicle in some normal location. then don't fight the system. We are talking a 1945 manufactured vehicle here with titling all paper non computer when the trail started. so if someone does a title history on in and it the same number all the way back it does not really matter if its a "vin", engine code, or some random number the state assigned. If in 1945 up until real vins the states it was titled in used the engine number so be it. I have a boat made before 1971 when hull id's were required. Took two trips to the state to title it because i kept getting " the computer say this is not valid" for the serial number. When went the second time i asked for the supervisors supervisor and well she said yea before 1971 we override it so the title trails stays valid.

So the real question is did you have it titled in your name after you bought it with the current number you posted? And did they give you any issues?
I agree with Tiny the closer you get to modern times the bigger the issue with a unofficial stamp. but most folks reviewing the car probably have no idea what a official 1945 stamp even looks like to give you grief.