Yes. Everyone knows Paul... as a Beatle. Not a bassist, per se. Most boomer non-musicians I've discussed the Beatles with assume he's a guitar player.
Ok, here's the thing guys. Unless I misunderstood the OP, which may very well be possible, he was referring to influence from a bass player. Not how famous a bass player is. Nor did the OP specify that the influence had to be only from bass playing exclusively. So...
Paul McCartney = bass player
Paul McCartney =influential
Therefore bass player is influential.
And I am not talking about mildly influence but extraordinarily so. I mean the dude's bass is iconic. Most people know what his bass even looks like. He has influenced the world and the music world astronomically.
Now, back to OP and question:
Did Paul McCartney influence the world and music world MORE than George Harrison, the guitarist in the band? I would say so.
An even bigger question would be, if you consider John Lennon a guitarist ( which I am not sure if I do), did Paul McCartney influence the world and music world more than John Lennon?
I'm unsure of where I would be on that one, I haven't reached any conclusions.
Now on Sting, he definitely has more influence than Andy Summers!
Chris Squire more than Steve Howe.
I am still thinking about whether John Entwistle has more influence than Pete Townsend(sp).