I think I agree with you. I think the type of instrument you play also has a bearing.
In my (old guard) simple way, I always think bass players are either Precision bass players, or Jazz bass players. By that, I mean that a bass that gives more definition (for want of a better expression) invites the player to play more notes. That's a massive generalisation, I accept, but I think there's a lot of truth in it. That's not to denigrate anybody at all. It's just what I've observed over the years.
Additionally, people have their own definition of the role in the band and how it is achieved. Again, there is no right or wrong answer. It's entirely down to the individual.