To change the naming convention for the "Record All Incoming Streams" feature, you would need to set up the StreamRecorder Defaults properties for that application. In order to do so, make sure you have
Advanced Settings enabled for your user account.
I corrected my post above. There is currently a backlog entry to allow custom configuration for this from the Manager UI. At this time, you would have to create a
custom code or use
HTTP Live stream record. You can check this
thread for more information.