I was able to grab a limited edition one almost 2 hours after release time. Was clicking through carts dozens of times and purchase pages about 5 times, what a mess.
I'm dying over this. I preloaded my steam wallet, left a meeting early, and started spamming the buy button the second it released. Couldn't get the purchase to go through for 30 minutes so I'm panicking the whole time. Turns out 5 hours later it's still in stock rofl.
From what I could observe of the launch, it looks like they decided to not put all the stock up to grab right away, and added it little by little to spread out the load and give people more time to get a chance to get the limited edition. It actually got "out of stock" multiple times already.