Push tokens from push-to-start Live Activities require user permissions?

Just wanted to clarify some expected behaviors here. It seems that there are two distinct behaviors for Live Activity flows for freshly installed apps.

When you start a Live Activity for the first time and the user hasn't yet clicked on Allow/Don't Allow in the activity interface, there are two different sequences:

Starting a Live Activity locally

1. Request a Live Activity locally via Swift
2. Live Activity starts
3. .pushTokenUpdates is immediately triggered, even if the Allow/Don't Allow buttons appear under the Activity UI

Starting a Live Activity via push-to-start

1. Send a push-to-start notification to launch a Live Activity
2. Live Activity starts
3. .pushTokenUpdates is not triggered, and .pushToken returns nil.
4. If a user clicks on Allow in the Activity UI, only then is .pushTokenUpdates triggered.