As a barely adequate musician, I feel barely adequately entitled to join in this thread.
So here goes....
I think every player has their own style, and the more you hear it the more recognisable it would be. That style is partly the way they learned the instrument (inluding any bad habits they picked up along the way), partly the influence of teachers and, even more so, people they admired (there's a recognisable Neil Young clunk to my guitar style for example), partly down to their own talents and/or limitations, even physiology (body shape, length of fingers etc etc), and partly down to how much they practice. It all gets blended together to make something unique.
In short, even though we are all influenced by other players, our playing style is as individual as our finger prints. Now when somebody is particularly gifted, like Swarb or RT, then a bunch of us fall in love with the way they play, and that signature sound gains in popularity and recognition.
And so another generation absorbs that sound into their own style of playing, and on we go.
Or something like that.
Jules