The document states that Parler agreed they had a massive backlog of reported content to review that "potentially promoted violence". Even Parler isn't making the claim here that they were doing a good job of moderating. They are arguing that it was a breach of contract not to give them more time to fix it.

There's plenty of reason to be skeptical about lots of things. There's plenty of reasons to dislike mainstream social media companies and the large companies that do business with them. But not everything is a conspiracy.