Triage acts like a powerful inbox: it includes your emails, notifications and mentions; in other words, everything that relates to you and requires your attention.
Only you have access to your triage and emails, unless you share them with the rest of the company by
Adding the contact to your account
Assigning the email to a colleague
Sharing or un-sharing your emails or auto-sharing to that contact.
Further reading:
How can I see who has visibility to an email