Interestingly enough, in Gibson’s own literature they pointedly say it “takes its inspiration” from their 1967 Flying V. And despite further flat out scifi references, there’s no mention of StarTrek at all. Hmm…
Possibly Paramount realized there would be a bigger battle pursuing it than it was worth and possibly losing in the process. So they negotiated one of those mutual non-aggression agreements trademark holders sometimes do where Gibson would agree to not make any scifi TV series or movies, and Paramount Pictures would agree not to build guitars.
Apple (if Beatles fame) agreed not to attempt to enforce their trademark on Apple Computer if Steve Jobs and company would agree not to create any music related products.
Many years later, when Apple released the iPod music payer and later created their iTunes services I’d guess the even someine as iconic as the Beatles realized they weren't going to win anything bucking a giant corporation with deep pockets, a rabid and adoring customer base, and enough lawyers on payroll to staff a very large legal firm with decades of experience in IP litigation. So they let it go.
Apple Corps made 100 million out of it which wasn't bad forty years after The Beatles ended, and if I remember correctly it allowed members to buy back song rights. Corps did OK

