TL;DR This is a fringe opinion piece with a pretty far-fetched conclusion. She can take this to court; German courts usually make nuanced decisions and defend free speech. The discussion around this is necessary, but this article leaves no/ little place for differing opinions.
While her dismissal should receive more attention, I don't think the wsws is a particularly good source. The article is extremely one-sided and doesn't question Schweizers own statements at all. Furthermore, there seems to be no actual reporting/ journalism involved in this, its content is purely made up of previously published media (e.g. twitter and BILD). I think this is just an opinion piece and should be treated as such.
I think the author had a clear message in mind before writing this, as the text goes on to bundle this case with a few other unrelated high-visibility cases that have different circumstances to question the freedom of speech in Germany. While there is a discussion to be had, the article offers no foundation to support the broad picture it paints.
Do not forget that Melanie Schweizer can take this to court and German courts don't tend to fuck around willy-nilly when it comes to freedom of speech. The German state/ public is capable of nuance, don't let this fringe opinion piece tell you otherwise.