Does the Allways concierge service at DFW include fast track through immigration? It isn’t clear from their website.

We are flying LHR>DFW in a few weeks on BA193 and are connecting to an AA domestic flight. We have a 2.5hr layover. Based on last experience immigration at Terminal D can easily take over 2 hours to clear, and that’s before you’ve picked up your luggage, loaded it onto the other belt, and gone through security. I’m pretty nervous a) about the general tardiness of BA193 (often late, occasionally cancelled as discussed elsewhere) and b) that even if we arrive at DFW on time 2.5hrs is cutting it too tight.