I doubt Betazed would do anything, really, because the planet isn't part of the Federation until 2273 and would likely have no compulsion to do so. And there's no correlation between Deanna Troi being a counselor on TNG and counseling being a common or much-taken professional role on Betazed.

I do think it's doubtless that the Betazoids, like the Vulcans, would feel the, er, disturbance in the Force that the destruction of Vulcan caused. But I don't think they would offer to help, being a fairly insular people themselves. More likely Starfleet or Federation personnel would be sent, if they would be accepted in the first place, which I doubt.

I agree with melannen, though, that some of this is probably bleedover from the Whoverse; though I would argue that the Vulcan eugenics that gave rise to widespread Vulcan telepathy didn't preclude the specialization of particular telepathic/mind-generated skills. So I don't think it's out of the question that, in the pool of persons who departed from Vulcan to form the beginnings of the Rihannsu, telepathic abilities became largely dormant, particularly if the breeding program sanctioned by Vulcan marriage fell to the wayside and that level of genetic control was lost.

/nerding out