Restrict access to conversations in the shared inbox, similar to standard object restrictions

[Jon_Sasala]

I would like to prevent users from viewing conversations in the shared inbox if they are not on the service team and if they do not own the contact. 

Currently, the only way to prevent users from seeing all activities in the Conversations Tool is to shut their Account Access off fully. ("Users with Account Access or Super Admin permissions  can view any conversations inbox in the portal")

Ideally, we would be able to limit people to view, edit and communicate with messages in the shared inbox based on the same "All, Team-Only, Owned-Only, None" degrees. This would be similar to the access granted on all other standard objects.

I, as a Solutions Partner, may need to get into a portal to set up shared inboxes snd channels for a client, but for security purposes, should not be able to see actual client data and interactions. Without limiting my access but not shutting off my Account Access, this is not possible.

[LSchopman]

This feauture is extremely important and it is concerning that it has remained without a response for over 4 years!

[MennoJansen]

Yes we would like this feature as well!