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We now have 3 people who have said they would sometimes 3-bet with JTs. I think that is awful. Who knows, maybe I am wrong though.

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Usually it's awful. If the initial better is weak-tight post flop though, you've got a good shot at getting them to fold a better hand (AK/AQ/AJ/AT) that misses the flop because you're showing you've got them beat. To some extent, you could pull this stunt with any 2 cards, but JTs is a semi-bluff since you can actually hit something and(this is important) it's a hand where you don't mind the blinds coming in. Trying this move with 27o just because the initial raiser is weak-tight leaves you totally screwed if one or both blinds come in.

Still, it's usually terrible.