Logs are always important if you’re supporting systems. The SQL Server Agent has always been a heavily used tool in my experience, so writing execution trace messages to the logs might help investigate an issue one day.
Running scheduled tasks in SQL Server Express has to be done differently due to the limitations of the Edition. As well as having a maximum database size of 10GB and 1GB consumable RAM, Express does include the SQL Server Agent.
I’ve seen this Index was out of range error within SQL Server Management Studio (SSMS) when trying to change the order of Agent Jobs.