The linked website isn't loading, so I don't know what it says, but: if we're talking about notarization, you can "staple" the notarization to a .app or a .pkg, which means you don't have to do the internet lookup at all, and you can run the apps without having access to the internet. I'm not sure about the technical details, but I would assume you add some sort of signature that's like "This .app with hash X has been notarized and it's fine" signed by Apple's secret key.
EDIT: how to staple: https://developer.apple.com/documentation/xcode/notarizing_m...