Azure Serverless SQL – Failover Group – Always Running

When I place an Azure SQL serverless database inside a failover group, I notice that there is near constant activity on the server. Thus I am billed per second for this near constant activity.

I have also noticed that the auto-pause delay never seems to take effect.

Is the expected behavior for a serverless instance to have to always be running to manage the active replication between the read-write and read-only instances?

Or will the server ever pause due to inactivity if no processes are being initiated by users?