Wow. That's really maddening. Over the years, I can't begin to think of the times that having that info has saved my butt.
It's easy enough to figure out in a small outstation, of course, but in a focus city or hub, it'll be next to impossible to pinpoint the incoming flight for certain.
I guess what really burns me about this is that their ops and scheduling and dispatch groups obviously have this info at their fingertips. ARRRRRRGGGGH!!