Email notifications vs. calendar invitations
There are two types of notifications invitees can receive when scheduling with you: an email confirmation or a calendar invitation.
An email confirmation includes your photo or logo, and gives invitees the option to add the event to their preferred calendar:
A calendar invitation comes directly from your calendar platform, and adds the invitee as a guest to the event in your calendar. This feature is only available to Google and Office 365 users.