The facility designated on a BUR approach plate (SoCal App) is different from the facility designated on a PMD approach plate (Joshua App). Therefore, the source of altimeter information would also be different.

Absent an altimeter setting on the field, an Eligible on Demand Operator landing BUR would use an altimeter setting given by SoCal Approach, and landing PMD would use an altimeter setting given by Joshua Approach.

In no case would one use a SoCal altimeter landing PMD. In fact, at least one PMD chart directs you to use Lancaster altimeter in the event PMD altimeter is not available. The BUR/PMD example is misleading.