This particular statement from the EFF is not in any way trying to convince Facebook that they shouldn't have a real names policy.
It's simply saying: Okay, you've got a real name policy. You should reform it in a few ways so that people can't use it for targeted silencing and harassment of groups they dislike.
It's also pretty overtly hostile to the existence of a real name policy at all.
The very first line sets the tone of hostility:
> Facebook claims its practice of forcing users to go by their "real names" (or "authentic identities" as Facebook spins it) makes the social network a safer place.
The piece they link to emphasizes that the "EFF continues to believe that the best solution is simply to get rid of the 'real names' policy entirely."
It's simply saying: Okay, you've got a real name policy. You should reform it in a few ways so that people can't use it for targeted silencing and harassment of groups they dislike.