From what I can see is now the paperwork will take 2 to 3 weeks. Once that's done, it can take Disney 14 to 21 days to complete the transfer. Than maybe up to 2 weeks to put the points in the system. So maybe a little longer? I'm not exactly sure.
We closed 22 days ago (deeds were registered on 1 June) and our new contract still isn't showing in our account yet.