If the Apple TV 4K is any indication, there's at least a month lag between announcement and shipments.
If they’re still having problems with the production lines they’re not going to be shipping to customers in a little over a month, short of using air freight to get goods across, and that would make a substantial dent in profit margins at scale.
Most iPhones and Apple Watches I’ve ever purchased on launch day ship via air from China to a FedEx hub somewhere in CONUS, then on to me. Takes about 3 days…