Web monitoring alert priority

Default web monitoring in SCOM is always a bit mysterious. When you create a web monitor there's nowhere to set the alert priority, only this option:

To see the monitor, go to the Authoring pane and scope to Web Application Availability Monitoring Test and search for Web Application Monitor. It alerts with Medium priority by default.

Any web monitors you create use this same monitor (I think) and can be stored in different management packs. You can see overrides the usual way but to see where they are stored it's often easier to export all management packs that contain web monitors and look at the Overrides section in each one.

To view health for web monitors, go to Monitoring > Application Monitoring > Web Application Availability Monitoring > Test State.