They can absolutely see the pricing right now. It took me a month of harassing every local dealer but I was finally able to put in an order for an AT4 on Monday which shows my MSRP with options as $64510. I noticed that GM upped the pricing at https://www.gmc.com/future-vehicles/2022-sierra for the AT4 from $60995 to $62095 so I must've gotten in on the old pricing. The email GMC sent about my reservation says "Reserved vehicle MSRPs are subject to change in GM’s discretion any time before an order is placed. Placing an order with your dealer will lock in the then current MSRP." I have a feeling my window sticker will come in showing a higher price so convincing them to stick with the original is going to be awfully fun. This happened to me when I ordered a 2010 Camaro and I had to raise hell with the dealer when I picked it up to make sure they didn't try to charge me the higher price even though GM was billing them under the lower pricing.
The dealer I placed my order through had been telling me they couldn't place orders until now but I found a page on their site that has 8 dealer stock orders already in . A lot of the problem is sales guys don't know much and typically don't have access to the Order Workbench so they don't know what they're talking about. My order is at status 1100 but they and another dealer told me Monday that AT4, AT4X, and Denali are all constrained so who knows when it will be accepted by GM and move to 2000.