I think you're misunderstanding me. I'm not suggesting it's a giant psy-op. I'm suggesting that it could be sort of like putting unique watermarks on mp3s when customers download them, so that when those mp3s show up on file-sharing sites, the publisher can figure out who uploaded them and close their account or file a lawsuit. It wouldn't be enough to literally watermark the real secret material. One would want fake programmes as well, so that if someone were only feeding descriptipns to a foreign country, it would still be enough to see that hostile foreign country A was passed information including information about fake secret programmes 106, 782, and 18023, and only CIA analyst Jack Smith has access to all three.
I do absolutely think that Congress should follow the trail and see if there's physical evidence. I'm just saying that I think that what they'll find is that there was never real evidence, just intentionally fake documents and maybe faked artifacts.
Potentially, it could also be a mix of true details, but wrapped in a false backstory. e.g. if an intelligence agency captured a Russian weapon prototype in some underhanded way that would cause a political incident, and wanted to have people reverse-engineer it, they could remove any identifying markings, then let three people examine it separately. Reverse-engineer A would be told "it's from a vehicle of unknown origin that crashed in Colorado". Reverse-engineer B would be told "it's from a North Korean military satellite". Reverse-engineer C would be told "it's from a crash site in Wyoming". All three might be provided with different, faked photo evidence that matched the story as part of their documentation. If any of those stories showed up in counterintelligence records, the intelligence agency would know which engineer couldn't be trusted. Everything else I described for the simpler scenario applies there too.