I was able to call Amex Travel and they called the hotel directly to get the Hilton number and then gave that to me. I can pull up the stay but it doesn't automatically stay in the app under "upcoming stays", so I probably don't have my Hilton number connected to it. I'll call Hilton and have them add the number. I know I won't get night credit/points but I'm kinda hoping they'll honor my gold status at least :P
Either way, having it show up in the app is really nice and I want that at least. I want to be able to direct message the front desk to update them on my very late check in (Probably 10pm or later) and maybe make a few small arrival requests via the app.