I see now that you started that thread, but you had posted into this thread. Password Manager That is why I had your post moved when I had not seen your original thread. I’ll have the two threads merged so all the information is in one place.
What Android version was on the Pixel 6? It might be an issue with the latest Android 14.
I take it that this is a fresh install on the Pixel 9, as you say you recently got the new device. Have your checked in the Android settings to see if there is a section for the fingerprint access that allows you to choose what apps can use the feature?