We want customers to be able to add Request Participants when they reply to an issue via email, by putting people in CC or the TO field in that email.
But we do not want customers to be able to add any Request Participants from the customer portal.
From what I see, we have three options to control how and whether customers can add Request Participants to an issue:

However, from after having tested, none of these permission settings seem to allow me to disable the sharing feature on the portal, while still allowing customers to add participants by mail.
Is this true? Am I missing something? Is there any way to disallow addition of request participants in the customer portal, but allow it by mail?