The "Burden of Proof" lies on the entity making a claim [0]. Besides, we do know that polygraphs don't work [1].
[0] https://en.wikipedia.org/wiki/Burden_of_proof_(law)
[1] https://www.wired.com/story/inside-polygraph-job-screening-b...
[0] https://en.wikipedia.org/wiki/Burden_of_proof_(law)
[1] https://www.wired.com/story/inside-polygraph-job-screening-b...
And nobody is being accused of anything, there is no burden of proof involved yet. If you mean that we can't subject someone to a lie detector while asking questions, i.e. we cannot subject anyone to anything without a reasonable suspicion, then we couldn't have airport security at all unless someone tweeted "today's plane is gonna be da bomb!"
Which would be a lot better than the current state of things in the USA, but that's not how this works.