Both sides announce, at different rates
Neither channel is on a timer, but they are not equally quick.
Wix reports a sale the moment it happens and Amazon does the same for orders you ship yourself, so neither side waits on a clock. Writing the new count back is where they differ: Wix takes it within seconds, and Amazon takes a second or two because stock updates go in as a submitted feed we wait to see accepted.
For a shelf shared between a website and a marketplace, that is comfortably inside the window that matters. Nothing here needs safety stock the way a polled channel does.