When I play it's a very intuitive thing. Perhaps because of my early exposure to Bix, Louis and Jabbo Smith and 78's in general I think in those terms and react rhythmically, melodically and timewise as they would. We are all influenced bysome externals and that is reflected in how we improvise, phrase and carry the beat.
Sometimes I'll be totally legato like Bix and concentrate on my tone. Other times I channel Louis and bend notes and slur to get my point across. Once again, like Jabbo I'll slur from low to high....Depends how I feel.
One thing. Long practice and playing with others has enabled me to do this with varying success.