You may want to re-read the lawsuit because it is most definitely about money, at least in part. The key parts of a legal complaint are the Causes of Action – literally the reasons for the suit – and the Prayer for Relief, what the plaintiff is seeking. I've summarized and bolded each part of the complaint that deals with money.
... 5. The defendants enjoyed "a direct financial benefit" from infringing on the studios' intellectual property. [emphasis mine] Note the complaint does not mention "profit." This word is a red herring that Axanar and its supporters have been employing to give the impression that the production has done nothing wrong. The production's fundraising activities have translated into financial benefits (e.g., salaries, a studio infrastructure for publicly declared future for-profit activities) for both individuals associated with the production, and for Axanar Productions Inc., a registered for-profit corporation in California.
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...4. Attorneys' fees. If Axanar loses this case, it – and all the other defendants, which include the 20 to-be-named other people who also engaged in infringing activities under Alec Peters' supervision — are all liable for the legal fees the studios pile up in defending their copyrights. This, and all the defendants' liability for statutory and actual damages, provides a lot of leverage the studios are likely to bring to bear against each defendant, making more than a few likely to be willing to testify against Axanar. Remember, while Alec Peters has secured pro bono representation in this case, the other defendants will have to pay for their own lawyers.
One final note: While most people have been focusing on what the suit calls "the Axanar Works" (i.e., Prelude and Axanar itself), it's quite likely CBS also has issues with all the ancillary products Axanar has created (e.g., model ships, artwork, patches, coffee), which the suit calls "any works derived or copied from the Star Trek copyrighted works." Contributors to Axanar's various crowdfunding campaigns may be disappointed – contrary to Alec Peters' assurance the other day – to discover that the perks they paid for may be covered by the injunction or the judgment against Axanar in this case.