Settings in module Page Access Control do not work if a guest is looking at a page.
Say there is a membership level not having access to blogs.
They don't have the blog menu in their profile (working fine this far).
Guests however see a blog menu in the profile of members of this group.
Same premises.
Login as a member of said group.
Go to /blogs/home.
There are action buttons for adding a post and viewing my blog. User is not allowed to write blogs and has no blog entries.