Alec's history of collecting a large amount of very valuable props could be of interest to C/P should there be significant damages awarded. I'm guessing they comprise the bulk of his net worth at this point, and may well be worth far more than the studio assets.
So what's interesting is that CBS/P is suing both Axanar AND Alec. They could sue the former, only, and shut down the production. Why sue Alec? To "Pete Rose" him out of Star Trek, including Axanar, the studio doing further Trek productions, and very very likely the prop business, where after all he held a "Star Trek Auction" not two weeks ago. They are clear on what they want - no movie and no Alec.