The folks at the Elite desk claim their inventory is different from what's on the website, too. It sounds crazy, but who knows.

The other strange thing is that inventory is sometimes available on a multi-segment trip, like IAH-EWR-GVA, while it won't be available EWR-GVA. So you have to have them check both an entire routing and by segment. BTW, for the life of me, I can't understand why they would make award inventory available like that.