Thank you!!!
I was struggling to find the right words, but you nailed it here.
I love Precisions (as my avatar may suggest), although I use Stingrays and PJ types mostly... If I use a specific bass for recording, it's because I want its specific sound.
Of course, if I were a hired gun and they tell me "hey, we want the bass to sound like a Precision" then I guess you use a Precision. But I don't think there's anything inherently superior about the sound of a Precision in any given style. The thing is the Precision has been historically used in a LOT of well known recordings, so it makes sense that any decent producer would be familiar with Precisions, possibly more than with other basses. However, to insist on a Precision, unless you really are looking for THAT sound, is either narrow-minded or lazy. Probably both. I think.