I've had very smart, capable, naturally-gifted students quit private lessons after awhile because they refused to see their practice as anything but another homework assignment to check off the daily agenda. But I've also seen the opposite too. I've witnessed music students flourish who, frankly, I didn't initially think "had what it takes" to be a musician. And, after years of students of all ages, abilities, and commitment levels, I've noticed a trend...
Students who view themselves as musicians - at least in part - maintain a continual involvement in music. And students who don't...quit.