I think 'live' is better description than loud.
I've had instruments which sound amazing on their own, but get lost in the mix. But something like a Precision sounds a bit rough and harsh on it's own... but comes alive in a live setting.
I've also had very respected sound engineers who for live sound would prefer the bass be be in the traditional tonal palette that a Fender style bass is in.
I have owned, and still own, a wide range of basses, but there was a penny dropping moment for me a year or so back moving towards a more Fender sound, and it was just so so much easier for me, the sound engineer and the band to get it to sound good and fit in the mix. It made me sound good in the genre I was playing in.
For me, a good Fender or Fender type bass (whoever makes it) has a place.
That's very much not to say it's the only way, or even that that quality is particularly virtuous. Music is pushed forward by folk doing new things with new sounds on different instruments that don't quite fit into the mainstream and people should just play whatever it is that makes them happy and sound good.
I like my sadowsky metro will lee. It's black and I don't like black basses much at all. But I like my one as it sounds good in almost every setting. It sounds great, the fretwork is great, it's super even across the fretboard and gets really gnarly if you dig in hard. It's got it's own variation of the classic Fender Jazz sound.
I don't like black basses, heck I don't even like Jazz basses. No I dislike jazz basses and have got through quite a few as I periodically have forgot that... I got my Sadowsky in a trade as I figured it would be easier to sell that the bass I was trading... But It's not going anywhere and became my go-to instrument because it just works. Even if it is a Black Jazz bass!
On the flip side I've tried some rather dull sounding Sadowskys in shops before. In fact the same is true for almost every manufacturer.