As an example, the site admin can remove images from a Group they have created but unable to delete images from a Group created by another member. The same applies to other modules. See fix below that needs to be applied to the core.
In inc/classes/BxDolFormMedia.php
Find :
if (!$this->_oMain->isEntryAdmin($aDataEntry, $iIdProfile) && $aRow['owner'] != $iIdProfile)
Replace with :
if (!$this->_oMain->isAdmin() && !$this->_oMain->isEntryAdmin($aDataEntry, $iIdProfile) && $aRow['owner'] != $iIdProfile)