Pretty much, but some practicalities and bowing to sensitivities will always prevail.
I wouldn't turn up with anything 'pointy metal' on my jazz gigs.
You won't see too many EUB's on metal shows.
Some Country band leaders won't accept anything other than a P bass strung with flats and sporting a tort pickguard, and no shell pink!
But in general, 'rock what ya got' is a good maxim.