To help me quickly troubleshoot background job logs:
Tag each Update all linked records job type with the integration name. You are already doing this with Integration Import job types.
In the case where a background job has failed, you write in the description "Please review the integration logs". Could you hyperlink that message to the actual integration log? It is quicker to find that way.
When looking at the Log Messages popup, I would like to be able to click on the red, orange, and blue severity buttons at the top of the list to filter the log messages by the selected severity type.