Am I just screwed, or will Blizzard eventually help me?

It’s covered in the mega-thread on the Twitch issue. In this instance, the tickets are to collate accounts with the issue. The collection should help in narrowing down where the issue is stemming from. They are hoping to be able to fix as many players as possible in one go rather than on a case-by-case basis.

Edit:
If your ticket was closed you may want to reopen it, or open a new one. Most cases involving the Twich drop not showing have been put in a hold-queue, not closed.