one that navigates to a linked article and notices a single sentence mentioning this admin's name, vanishes the post and bans the moderator who approved it?

sounds a lot more like 'reddit admin decided to abuse powers in an attempt to hide any link to how she once hired her paedophile father and was removed from a political party'

It's pretty clear now what happened is that a completely innocuous post to an article in The Spectator contained this person's name. They weren't the subject of the article or any of the conversation.

This particular reddit admin then removed it and banned the person who posted it (long standing mod).