Even so, I very much share your skepticism that this is actionable or even improper. The idea that it's unlawful for your search algorithm to not translate "on rumble" to "site:rumble.com" would be... quite a precedent.
I don't know exactly what they did to their search engine, but whatever they did, it's an absolute travesty. It used to be that if you searched for something long enough, you would eventually find it, no matter how obscure the thing you were looking for was. Now, it's almost impossible to catch them red-handed and prove anything, as archiving millions of Google webpages is really not an option, but I'm convinced that they are for example removing results of old news stories. I thought I might be going crazy, but no, other people had noticed how garbage Google has become too, including those who I know privately and don't get political at all.
This is plain false. The lawsuit is about search results, and those have nothing to do with someone paying to be higher. That only applies to ads results, which doesn't seem to be the issue here.
If I search "rumble big tech censorship", the rumble video shows up before Youtube. For other queries, why would they expect some random small video site to show up higher than the #1 video site? The article is behind a paywall, does anyone have more details on the claims here?