After setting up an Azure Synapse link, we can view the Sync status of each table through the 'Azure Synapse Link' page.

If there is a failure to sync one of the tables, this is reported on the UI, but as far as I can see is not alerted elsewhere.

Access to this status programmatically, or via exposed logs, would be useful for holistic reporting in tooling external to the Powerapps dataverse.