At this time, only primary Hospitable users receive email notifications in relation to reservations (e.g. whenever a message is sent to a guest) and other updates about Hospitable services. If a secondary user was invited to access your Hospitable account through our User Management feature, they won't be able to receive email notifications from us by default.
To make sure your team stays in the loop, you can add them as a Teammate in Operations so that they can receive notifications regarding reservations. Note that these are limited to booking confirmations, cancellations, alterations, check-in/check-out reminders. There are certain notifications that are only sent to the primary user such as payment issues, notifications whenever an automated message is sent to a guest (if toggled on), when messages are prepared, when reviews are captured and when messages fail to be sent.