[support] Comment Access on Private Group Node

I am trying to work with OG in D7 and I want all groups and all group posts to be private, i.e. for members only. It seems to work BUT if I visit a group_post page as an anonymous user, I see the comments posted and the node Title. All that's hidden is the Body. I even tried adding the https://drupal.org/project/content_access module to deny access to this content type, but it didn't help. Am I missing something here? Thank you.