protected post shows in categories

-> UPDATE EDIT: I now see that the problem i report below is expected behaviour. It was NOT expected by me though. A protected post _should_ be a protected post. Grrrrrrrr.
As a work-around, I have tried using the shortcode protections ….

[s2If current_user_can(access_s2member_level3)]
stuff here
[/s2If]

… and that seems to work.

END UpdateEdit <-

I am just getting started with using s2member and something seems wrong with the protection of posts.

1) I added a new member and gave it Member1 level
2) I added a post and set the protect level to Member3 and above. The post was set be of Category "Food"
3) If I login as the user with level1, and select the Category "Food" from the Categories list in sidebar, I can see the protected post, which should only be available to Leve3 and above.
4) If I click on the post header (permalink) , it then will not show the post, but redirects to the MemberJoin page.

Should not the post be hidden from the Level1 users if it is set to level3 and above?
I don't want to protect all the posts in the FOOD category, only some as designated when I set their minimum level.