So are they right or wrong about the sigmoids?
All of the point of that article is that most people that think something is a sigmoid think it'll bend just as they are publishing their analysis. And the article says, don't do that, assume it'll be related to how long we've been on the "goes up" part.
Nothing in that article says it's not a sigmoid.
I dunno. They've been saying this for decades, including in a very well read Harry Potter fanfic, and I'd always dismissed them as kooks, but maybe they're right in the end.