Why was the fake ID not included in the exhibit? I have no way to know why. There are a multitude of possible answers. But I could only venture a guess as to why. Here is a hypothetical question though: If the national archives actually did intend to include a complete inventory of what was in LHO’s wallet when he was arrested, wouldn’t they include the money that LHO was reportedly carrying at the time?
I don't know what their intention was, but a few dollar bills isn't quite the same as a vital piece of evidence in the case against Oswald, don't you think?
But you keep on going on about the photo and the exhibit and ignore the memo written on 11/29/63 by W.D. Griffith, to Mr. Conrad and several other high ranking FBI officials, which says that ASAC Dallas Kyle G. Clark has learned from the DPD that they forgot to photograph Oswald's wallet and it's content. They (the DPD) request that they be furnished with photographs of those items.
According to the memo, the wallet contained photographs of Oswald, his wife and a baby, as well as various Civil Service, Social Security and other identification cards. What isn't mentioned is a fake Hidell ID card.