The way gateways and networks handle auth are not the same thing and it gets really muddy and confusing, honestly.
If you’ve already tokenized the card on a gateway for a particular merchant, for example, they may allow you to keep pushing multiple charges while on their end still using the original network auth from the first tokenization - which ends up being entirely opaque to you, the client of the gateway.
Essentially you don’t have to care what the card network rules are, just how your gateway presents functionality to you.