That's the thing with conspiracy theories, they can almost NEVER be disproven.
This would be a problem if that's how anything worked in the real world. It's why we go with the legal fiction "innocent until PROVEN guilty."
I think conspiracy
THEORIES are nothing more than circular arguments dressed up in verbiage. Actual conspiracies DO exist, of course, but we tend to learn of them because of this little thing called evidence.
Remember this: there is a cottage industry dedicated to the idea that God knows how many assassins firing God knows how many guns shot Kennedy dead in Dallas on November 22, 1963, and the only guy a lot of people think DID NOT shoot Kennedy was Lee Harvey Oswald. The perfect crime if a conspiracy.
Bear in mind these people reside in the same world where I managed to know every intricate detail of what one President did with a cigar with his intern, but they believe a bunch of apparent phantoms fired a bunch of invisible guns with invisible bullets - because literally every scrap of evidence in existence tells a simple story of one guy firing three shots from the sixth floor of a book warehouse and killing the President, fleeing the scene, killing a cop in front of about ten witnesses and getting arrested in a theatre where he (wait for it) pulled a gun on the cops arresting him.
It's not going to make any movies, but the JFK killing is among the simpler crimes in the history of humanity. Notice that everyone who bangs the conspiracy drum on that subject is someone who BEGINS HIS ARGUMENT with demanding an explanation of a pedantic point while always ignoring the Mount Everest of evidence in front of him.
But he has an answer for that, too: if the evidence proves Oswald did it, it's part of the frame up. If the evidence might be interpreted another way, we get the insistence it's the smoking gun. And then when the next evidence contradicts that, you just say the evidence was altered, changed, or destroyed.