To be clear, I don't think everybody on the internet should be using their real name all the time. Anonymity is great, and (in all seriousness) I hope 4chan is around for years to come.
The problem is that if even a few users are anonymous, the entire community takes on a different character. You might not care, but some people, at least some of the time, might want to avoid places like that. This requires a website to force you to give up your anonymity. If you don't want to join a community like that it's your choice. If a website you're already a part of wants to become like that you can yell at them. That doesn't make it inherently bad though; it's just a preference.
If there were legislation being passed about it, that's another matter entirely.
The problem is that if even a few users are anonymous, the entire community takes on a different character. You might not care, but some people, at least some of the time, might want to avoid places like that. This requires a website to force you to give up your anonymity. If you don't want to join a community like that it's your choice. If a website you're already a part of wants to become like that you can yell at them. That doesn't make it inherently bad though; it's just a preference.
If there were legislation being passed about it, that's another matter entirely.