>>127169589
>cool jazz
Playing style/articulation are restrained and introverted, tendency to be influenced by chamber music or classical music (particularly impressionists like Ravel and Debussy), not afraid to embrace collective improv, mild-to-medium dissonance or odd time signatures
>smooth jazz
More extroverted style, tendency to be influenced by new age and pop rhythms and tonality, much more consonance, less swung-feel, almost always follows basic strophic forms
Other than things like omitting more complicated substitutions and quartal voicings, they're completely different. Their differences are far vaster than the gap between death metal and black metal, for example. In other words, Stan Getz and Zoot Sims sound nothing like Kenny G or David Benoit.