One difficulty is how you define "resemble", is this a silhouette i.e crankcases cylinder and head form, or does it refer to performance which must be similar to when it was new?
By the introduction of the word you immediately embark on a fluid interpretation and invite owners to push th barriers as OTF mentioned.
Looking at the photo above I would not allow the above bike as it most certainly does not resemble any Bantam I have ever seen coming from the BSA production lines, particularly in the subframe area.
Without knowing exactly what else has been done to forks, engine etc I would suggest it is clearly aimed at improving performance way beyond what was avaliable at the time and as such does not resemble a period machine.
My Cub is a totally standard machine (with the exception of an alloy fuel tank and TY 175 rear shocks) as I had one as my first ever bike back in the early '70's. It is no where near competitive against todays classics but I love it just the same!