No. That's NOT what the DOJ wants to argue. Yes, the complaint itself does refer to market share, but it doesn't specifically refer to "92 percent of the world's internet searches". In fact, the complaint refers to market share within the United States, since that's geographically relevant to the case. What happens elsewhere isn't. [1]
[1] https://s.wsj.net/public/resources/documents/GOOGLEANTITRUST...
This is what the NYTimes wrote:
> The Justice Department, which is asking for a court injunction preventing Google from entering into deals like the one it made with Apple, argues that the arrangement has unfairly helped make Google, which handles 92 percent of the world’s internet searches, the center of consumers’ online lives.
92 percent links to a report by statcounter.com [2]. That's the NYTimes making a claim about Google's market share and linking to a source.
If you read the sentence even more carefully, you'll see the word "which" appear twice. "Which" grammatically denotes a non-defining clause from the perspective of the writer. It's information that you could remove without altering the core of the sentence: [3]
"The Justice Department argues that the arrangement has unfairly helped make Google the center of consumers’ online lives"
More importantly, "which" is gramatically used from the perspective of the writer to give a bit of non-essential background to the sentence. And so, what is absolutely NOT being said here, is that the DOJ claims that Google holds a 92 percent market share.
[2] https://www.nytimes.com/2020/10/25/technology/apple-google-s... [3] https://www.grammarly.com/blog/which-vs-that/