What I'm trying to get at is, What does a physicist mean when she says she saw X move from A to B faster than light? The measurement is made from a single point; say A. So the physicist is at A, sees X leave at time tX, sends a photon to B at time t0, and gets a photon back from B at time t1, which shows X at B at some time tB. I'm tempted to set tB = (t0+t1)/2, but I don't think relativity lets me do that, except within a particular reference frame.

"X travelled faster than light" only means that tX < t1. The FTL interpretation is t0 < tX < tB < t1: The photon left at t0, then X left at tX, and both met at B at time tB, X travelling faster than light.

Is there a mundane interpretation under which tB < tX < t1? The photon left A at t0, met X at B at tB, causing X to travel back to A and arrive there at tX.

The answer appears to be No, because X would need to travel faster than light on the return trip. And this also explains that Owen's original answer was correct: You can say that X travelled from A to B faster than light, or from B to A faster than light.