I tried the first one, getting directly to the group.
I realised, removing the user from "Domain Users" (not having that group as the primary) -Or having any group in the "Users" folder as the primary was the problem...
As soon as i added the users to a group setting in the "Users" folder, and making that the primary, the user would pop in searches...
So i created my own group there, and now im making that the primary. Not sure if this is right way to solve this, or the only?
Jesper