"Amok Time" established that Spock's and T'Pring's "minds were locked together" so that they'd be drawn together at the time of mating, even across interstellar space. Spock felt the Intrepid crew's destruction from light years away in "The Immunity Syndrome." And though "All Our Yesterdays" never actually explained why being in the past made Spock act like a primitive Vulcan, one interpretation is that he was telepathically influenced by the Vulcans of that era even across many parsecs. Outside of Vulcans, TNG: "Haven" established that Wyatt Miller and his true love Ariana were bonded telepathically across a great distance. So there's always been precedent in Trek for Vulcans and other telepaths being able to communicate instantly across interstellar distances.
Come to think of it, "Haven" might qualify as an example of TNG depicting human psychic ability. The episode never claimed that Tarellians were telepathic; Lwaxana just said that all consciousness was bound together, and that it may have been Wyatt and Ariana's mutual belief in the principle that allowed them to connect. Of course, that's just her own conjecture, but the episode did seem to imply the belief that the potential for telepathy existed in all beings, which is a common enough conceit in fiction. But it could be interpreted as both Wyatt and Ariana having some esper/psi ability that bonded them. Maybe that's why Lwaxana and Wyatt's parents thought he and Deanna would be a good match, because he had some psi talent of his own. (Which doesn't fit with my theory from The Higher Frontier, though. But maybe Wyatt's family tree included a Betazoid ancestor.)
Fair enough.