Refreshing service board should be happening automatically. Currently it is a manual action that has to be performed each time. Either the Push Request notifications should be able to trigger an automatic refresh AND/OR it should refresh for example every 5 minutes automatically which can be set as a default however, can be changed as a per user preference or turned off there.
What is the underlying problem do you intend to solve with this idea?
Make sure that the Calendar is up to date and no double bookings are made
How is the problem being addressed today, if at all?