When I younger and starting out I would sound like my influences of that time, like flea and Tim C.
I've now played for so long, in so many different styles I don't sound like any one single person when I play in my usual fashion. I can however mimic the sound of a few players if I feel like it, or to make it sound more like the recording.
I don't often do that these days as I don't play covers very often nor do I really care how the bass sounds on the record, when I play whatever cover tune, it is not the studio and i am not that player so I play in the manner that I think is musically appropriate for that particular scenario.
I like the tones of many players but it's not really the tone that's traceable with me, I'm more influenced by their rhythmic, melodic and groove aspects, tone influence may be there but not as easy to identify as I may change the tone I use within a phrase, sometimes to exaggerate dynamics of a melody.
For me that actually goes for all singers and instrumentalists, I am just as influenced by Donny Hathaway's singing as I am with Ray Brown's playing and Charlie Parker, Clifford Brown, James Brown, Jackie Wilson, Ray Charles, Hampton Hawes, Oscar Peterson, Prince, Jimi Hendrix, Christian McBride, Big Mama Thornton etc.
For me music is music, I don't care where it comes from nor what instrument is used, just as long as it had groove and soul. Could be any style, just make it great.