I don't have many skills so I can't expect employers to just "let it slide".
What are the pros of stating things under your identity? The only I can really think of is that you receive a certain amount of 'credit' by default, yet on the other hand do you really want the reaction to things you say to be based not on what you say, but who you are? It's the reason e.g. getting critical advice from friends can be difficult. So I'm not sure this can even be considered a pro.
What are the cons? Everything you say, ever, can now be tied back to you. If you change your view, you can be portrayed as whimsical or inconsistent. Things you say can be spun or taken out of context to impugn your character or misrepresent your views. Imagine if everything you would have said when you were a teenager or young adult would have followed you around for the rest of your life. That's the stuff nightmares are made off! Yet that's precisely what posting on the internet under your real name will now entail.
1. It means we can say what we really think about something rather than purely what's acceptable to the court of social media/public opinion. Having your 'real' identity public online now seems like a ticking time bomb waiting to go off at the worst possible moment.
2. And it forces people to judge you based on your words rather than your personal characteristics/backstory/appearance. That's a huge benefit that people seem to take for granted now, and one that'd probably make the offline world better if it was the norm there.
Of course, I'm also personally rather paranoid and try to avoid posting personal information online in general (eh, I took the whole 'don't give out too much information online' thing from the 80s/90s pretty seriously), so take it as you will.