It wasn’t the shock baton that came to mind, rather the TNG episode where Lwaxana figures out that the fish-alien diplomats are frauds and spies. Lwaxana’s telepathic insights could be distracted, but not for long.
Even Deanna Troi, a less powerful empath, was able to survive alone undercover on a Romulan ship.
Of course there would be Betazoid Intelligence officers embedded in the Federation diplomatic core.
Once again, Lower Decks is the show that takes things to their logical conclusion.