No.
The difference between "one of the biggest tabletop miniatures/game manufacturer in the industry" and CBS/Paramount is rather significant. It was a shot in the dark prompted by some random BS spun by the extremists in the fan community that CBS/P 'must not really own' Star Trek because Gene 'would have never given a soulless corporation full control.'
I think it more plausible that this shot in the dark is prompted by another recent similar shot in the dark that ACTUALLY WORKED. All it takes is one screw up in the ownership chain and they have justification to get the case possibly dismissed for now until that broken link is fixed. But if you'd rather believe that a large successful mutli-million dollar law firm is instead following the legal strategy dictated by some sort of misguided Axanar fan illuminati then so be it. My point in mentioning it here is to fill in a possible blank as to why they initially (and unsuccessfully) persued the strategy.