All our accounts will eventually be linked by our writing style.

I love having a really common name. Growing up, my neighbor down the road had the same name and we'd get each other mail sometimes. One time I even met a guy who had the same middle name as me. It's kind of funny, my name is so common you can't find me on Google, and my girlfriend's name is so unique that there's almost 100% certainty that nobody else in the world has her name, so very googleable. I love the anonymity of my common name and she loves the unique identifier that is hers.

>All our accounts will eventually be linked by our writing style.

I don't think this is true for most people. Unless you are a relatively prolific (probably top 1% or even 0.1% or less), you likely do not have enough long form writing online to create a unique style fingerprint. All of your accounts will be consistent with having been written by the same person, but absent other information, will not be enough on their own to say that they were written by one and only one person.

And even for people who do have enough writing online to create a truly unique fingerprint, that fingerprint will not be universally applicable to all their accounts (at least not solely by writing style*). Even when you have a truly unique profile for someones writing style, a given writing sample needs to be greater than some minimum length in order to consistently match it.

Linking literally all of your online accounts will probably use writing style as a factor, but I very much doubt it will ever be enough on it's own.

The worst of both worlds is that you share a less common name with someone notorious for some reason, perhaps in the same city. Happened to someone I knew in grad school and they got literal death threats on their phone, number of which was in the phone book.