Pickups aren't magic, neither is a bass guitar. When you hear a lot of high end in a tone, that doesn't mean that there's some magical thing that adds high end, but rather that there's not a whole lot that sucks the high end away. The more cable and wire you introduce to a signal, the less high end you'll get, unless you introduce buffers and such.
The big difference between different models of pickups of the same type, is how much high end they'll give. Depending on the amount of windings, the magnet, and the gauge of the wire, you'll have a more or less top end roll off. BUT, and here comes the fun part, most of that difference becomes irrelevant if you have a lot of cable in your chain. The more capacitance you introduce through other means, the less the actual difference in pickups becomes. And I would argue it's pretty much irrelevant already once you plug into your amp...
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This is roughly where you're at when you add a cable. The solid red and blue lines being wildly different pickups (one having a capacitance of 90pF and one has 140pF, while the cable adds 400pF, which would be around 5 meters of a good quality cable).
Pickups can only do so much, and as long as the strings are solidly attached to the bridge and tuners, you'll get a good range of motion and virutally no difference between instruments.
That taken into consideration, I don't think the bass is at fault for the audio sounding so bright. It's probably just the way they recorded it, potentially changing some stuff afterwards. Perhaps there is some preamp magic happening in that bass. But if you put the pickups close enough to the strings, and you roll off some of that top end, it'll sound plenty warm.
If the bass looks good, feels good, and works, then it is good!
) bridges has an impact….
