I'm surprised this is an actual article from the NY Times and not an editorial. Im very surprised any journalist would plead for censorship on the internet.
Columns are very much opinion pieces. Editorials are opinion pieces written by the editorial staff and usually are looked at as having the support of the paper (like endorsing a candidate). It definitely be more clear though.
So someone is free to post their racist and misogynist memes but someone who doesn't wish to see that content just wouldn't see it.