Rand doesn't appear to have that Talent, and though LTT's Talents or skills only seems to come back to Rand when he needs them, I doubt it's a Talent.

I think this was just an example of RJ's 1990 conception of the heightened senses of very powerful channellers when holding the True Source. Later in the series, this gets brought down to a more believable scale, but that's essentially still there, just not as over the top as sensing everything for miles around themselves. They feel they can make out each individual leaf in a tree (that's a Zen-inspired thing, by the way) and stuff like that.

If asked about that in Q&A, he probably would have come up on the spot with an explanation (like a type of ward he wove to make sure there was no human being around he'd kill by commiting suicide - the weaves were not described at all in that chapter told in Omni, eg: not "he wove a gateway" but "He Travelled", though I doubt RJ cared to put anything in the notes about that issue, and with him gone it's pretty much a case of making our own explanation up.