>There is no automatic right to anonymity when posting on someone else's website.
Put another way, anyone who posts anything on your site, you have a right to discover the name of. Do you agree with this satement? Do you agree that YCombinator, owner of the site you are posting this on, has a right to investigate and discover your name? (Which you are not posting under.)
For me, I would think that would be the case if you cross a certain line. They do not have the right to discover that you're actually (celebrity investor) and then, since of course you have "no right to anonymity", publish the fact that (celebrity investor) comments here.
I think this example logically proves that in fact you do have a right to post anonymously. (Since if you didn't, sites would have a right to go to any length to discover your identity.) Or what am I missing? I might have a flaw in the deduction made in this comment and am open to someone pointing it out.