Just two things, Barid.
First, what made you think the a'dam and Sad Bracelets were made in the AoL? I'm not completely sure about the DB (the first copy was cuendillar, so perhaps it was?), but we know when the a'dam came to be.
Secondly, reread LTT's reaction to Rand's channeling the TP, and tell me if you think he ever touched it himself. I guess it's funny to talk of LTT like a real person; Tell me if Rand has ever touched it before, that he remembers.
1.The Domination Band we know comes from the AoL, when Semirhage uses it on Rand she comments on how she had always wanted to use it on LTT and we can also assume that a female version was also available, or at least researched. You are correct about the a'dam though, I just remembered it being mentioned as a post-AoL thing.
2. I am not saying that he actually channelled it, although I don't rule it out, but I read it as he was familiar with at least sensing it. Granted, LTT is LOATHE to touch the stuff, and probably never used it, but at least has some experience with touching it. In regards to the question of the Guardian, LTT need not have actually channelled it in any case, simply having access would allow him to confirm that he could or could not channel it in a certain environment.
Unless you know of a way he could recognize the TP ?
True, he does not "say" (heh, how else can you describe the voice?) the TP specifically, and he says "HIM" (presumably the DO). That is a fair enough point I suppose.
But again, it comes down to the fact that I do not know what other situation LTT/Rand would have recognized the TP.
(If you were thinking when he touched the DO to seal the bore, I suppose that could be true, I have no idea if touching the DO is comparable to the TP, so i cannot comment, unless you have something that states it is?.)
Also worth mentioning, although the point cannot really be confirmed or denied, the DO seems to be allowing Rand access, as bait of sorts. Is it too much of a leap to suggest it did the same with LTT?