I think if this is a practical or philisophical issue for someone making music (or film) then your music's DNA will be structurally different than if you don't think about it. "Not better" or "worse". And to the listener it may sound exactly the same. As a believer in the profound value of mistakes and accidents I tend to believe in music's mystical strengths as a performing art. Though of course the same thing is equally possible in digital recording. As long as you don't feel compelled to correct those accidents so that they conform to the implied tramlines. Though have there ever been stricter tramlines than the 12 tone scale? Thus spake the fretless bass player with an inconsistent relationship with pitch!