LOL, the mechanic doesn't differentiate between Ts and regular fouls, IMS. We're an IAABO state, and just went opposite last year for all fouls. When we were table side, we stayed table side on Ts. The option was there to go opposite if the situation was particularly volatile, but I never used it.
Actually, whether the partner explains a call to a coach has no bearing on JR's opinion of his possession or lack of possession of huevos. Honestly, anything more than "you'll have to ask him when he gets a chance to get over here" is overstepping, IMO.
However, as always, when in Rome. Just don't use the stop sign.