Most IT departments have the mindset of avoiding troubles instead of making things easy for users. They don’t want to get blamed for security incidents. They want things to be predictable and within control.
They sacrifice a lot of user convenience doing that. On the other hand, IT giants are enshittificating IT services.
Why do you want to remember which one is which? Don’t they just connect automatically when in range?
When you turn off notifications, they are off. That means there are no notifications to collect. I think you should enable notification but turn off the notification types.
Then, you can access notification history via:
Settings > Notifications > Advanced Settings > Notification History
Anyone remember Geocities?