Google-calendar – Forward Google Calendar invites to another account

Please check the calender settings and check whether it is not shared as public. Since you have both calenders in same address, work calender should not be public and should be idle for invite accept notification.

It looks to me that it's working as was designed.

From Present slides - Google Docs Help

To present in a meeting you've already set up, touch its title in the menu.

If you would like to see a new feature or that an existing features works different, send your comments directly to Google. You could do that directly from your Slides mobile app or from the Slides web App. Also you could do that using the Google Docs Help Forum.