I mainly play Jazz Basses and have for a long time. By this point, my main gigging basses are modified so that I can dial in what the OP is referring to as “clank.” Yeah, they will do that. The interesting thing is that somewhat guttural ugly clank you hear solo is part of what can make a Jazz Bass magicically sit in a guitar or horn driven mix. So, it is ultra important to do your tonal observations in the mix rather than in the bedroom.
Another key aspect is that Jazz Basses like a little messing with the signal chain in front of the amp input. And that means preamps. P Basses have their thing down in passive mode and they don’t surprise you going from solo to in the ensemble mix. Jazz Basses are different. After messing with a whole lot of different signal chains over the years, I’ve just made installing a Sadowsky preamp in the bass standard practice; mainly because I can controllably dial that “clank” in and out as needed. But, there are certainly other ways to do it. Anyhow, the “clank” quality actually can be a good thing in the mix. You just need to get it under control.
Another key aspect is that Jazz Basses like a little messing with the signal chain in front of the amp input. And that means preamps. P Basses have their thing down in passive mode and they don’t surprise you going from solo to in the ensemble mix. Jazz Basses are different. After messing with a whole lot of different signal chains over the years, I’ve just made installing a Sadowsky preamp in the bass standard practice; mainly because I can controllably dial that “clank” in and out as needed. But, there are certainly other ways to do it. Anyhow, the “clank” quality actually can be a good thing in the mix. You just need to get it under control.