And there's plenty of potential for abuse here. Let's say that an admin of a popular group, with thousands of members, leaves Facebook. A malicious person can take over the leadership of the group (it's relatively easy to find such groups by conducting a simple Google search) and change the name and the picture of the group into something offensive.
In a way, it's good that Control Your Info is raising awareness about the issue, because Facebook needs to change the mechanism for transferring group leadership; I doubt, however, that taking over hundreds of Facebook groups is the right way to do it. In any case, if you're a member of a Facebook group, be careful: you may find that the group has been taken over and changed into something you probably wouldn't like to be a part of.