As someone that has worked as a CS phone agent, I can tell you that we don't know shit other than what it is readily posted on a site. If we see a product page is up, then we'll say it's up. If units are sold out, then we'll say to wait for the next shipment. We have no idea when those shipments will arrive unless management has specifically told us about it.
Stuff like that is info the sales department or warehouses known about, and we don't communicate with them.
CS agents don't know what goes behind the scenes with stores and Nintendo (or other suppliers). They don't know when things are going to be available on a page until management sends the announcement. They aren't able to check if there's stock on a warehouse, if a page says sold out, then it's sold out (even if there are more units).
And they specially don't know shit if they are in a call center on the other side of the world. Believe me.