Is something black or white?
It's sounds like what you'd accept is "All heavy basses are X, all light basses are Y". It's been a common goal here on TB for years... people want to see a set of rules to simplify making choices.
If you play ten Ash jazz basses and ten Alder jazz basses and don't notice a commonality with the different woods, cool. I usually hear a difference, particularly slapping, which can highlight the attack and decay of the instrument among other things.
Except just like life, it's usually not that simple. Weight is only one component of wood. So is that the only thing that can affect tone? IME no. Yet folks here often set up ground rules based on one measurement while ignoring any other relevant ones.
Weight is a great one. I've seen people state that they can't wear a bass over a tenth of a pound over their limit. If basses were weights that might make sense. But they're musical instruments that you have to wear so I'd think at some point ergonomics factors in. But they don't.
Scale length is another. I had a 34" bass that had a much longer reach to the nut than another 34" scale bass... because the bridge was close to the middle of the body vs. near the edge. But they were both 34" scale so how could they be different when they're the same? Heck, there are still folks who think that the number of frets factors into scale length.
I've owned a lot of custom basses and played even more. I tend to prefer woods that happen to be relatively heavy yet very resonant. I don't have a problem with a lighter bass that sounds great but those in the same vein as my preferred basses are extremely rare. All heavy wood is not the same, neither is all light wood. It took time to figure out what I like and now, if I place an order and I don't experiment with a "next great thing" component it's rare that I won't be very happy with the results. Because I know what I like and how to get there.