Separate group posts for different group types

Hi,

I have following question: if I have two different OG Group nodes (A group and B group) shouldn't I be able to have at least two different OG Group post types (A group post type and B group post type), where one post type would make posts only to its corresponding group and the other only to the other corresponding group?

Why would I have the possiblity to have more than one OG Group post types?

The case:

1) I have some predefined OG (open membership) where I don't want to have posts from other users besides admin.

2) But when users create their own groups they should of course be able to make post in them.
Well, when they make those posts they are able to post also in the OG from 1) where they are members. Having OG Group posts be connected to certain OG Group nodes would have that problem fixed.

Of course there could be another solution already working, but I cannot find out how else.

Any help is greatly appreciated!