Edit and delete permissions are strictly based off the person being the owner of the media entry. In this case, even when creating on the users behalf on frontend, the profile owner is always the owner of the media entry. Using a custom gallery via the gallery fieldtype maybe able to workaround that check.
Yes, there is if checks for this permission, but it's all throughout CB Gallery and this is no simple means of taking away edit or delete permissions from the media owner.
The only way to have what you're wanting is for the gallery entries to display on their profile, but ensure they're not the owner of those gallery entries. This maybe doable by having the gallery asset specific to their profile, but with the owner being the moderator. As explained above this might work fine using the gallery fieldtype with asset set to something like files.[user_id].
Kyle (Krileon)
Community Builder Team Member
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