It depends on the restaurant whether or not I'd trust my TA.
I'd never trust a TA for LeCellier, Chef Mickey, CRT, Crystal Palace before park opening, Victoria & Albert's Chefs Table or any other highly demanded reservation. Why you ask? Because I called for LeCellier at 7am Eastern (6am my time) and struggled to get my reservation at exactly 180 days out.
I'd assume that an AAA TA will probably call during their regular business day, meaning they may call a few hours into the day at Disney.
Also, even if she goes into work early to make my reservations at 180 days out, she may do so for a few different clients as well. Who is to say that my reservations are her first priority for that day?
If my choices were normal TS locations, then I'd welcome it!