I just want to point out that this statement isn't exactly right, or rather needs clarification.
It is TACC that should slow and then ultimately stop the car. If TACC functions properly, AEB will not be involved at all.
If for some reason TACC has failed to slow the car properly, at that point we could expect AEB to kick in.
After reading everything written in this thread, if I had to take a guess as to what happened, my guesses, in order, would be:
1) TACC wasn't tracking the stopped car for some reason, with the most likely reason being the OP failed to notice (as he acknowledges he may have, though he doesn't think he did) that the car the TACC had been tracking had left the OP's lane, leaving the stopped car directly in front of the OP's car, but not yet tracked.
2) TACC had inadvertently been disengaged by the OP, most likely by a light application of the brake pedal. It could have been a "brushing" of it, or perhaps even a subconscious, light tapping of it at some point when the OP's instincts reverted to a time before TACC existed, since he spent most of his adult life driving without TACC. He may not have realized that he instinctively had lightly touched the brake at some earlier point, to slow the car, because that's what he had been doing forever.
I'm not attaching blame here. The OP has said he is actually hoping that the logs show TACC was not engaged. My guess is that they will, in fact, show that, very possibly for one of the reasons above.