As other people and myself have said elsewhere, they buy information from many personal information brokers, and this data (presumably) wants a real name to be

As other people and myself have said elsewhere, they buy information from many personal information brokers, and this data (presumably) wants a real name to be linked. They can't know that fake names are fake in all instances (and have gotten a lot of backlash by trying to do so), but there real name policy would have a real effect on their ability to link offline data to your online profile so they can better sell your eyeballs to advertisers.