"First comes right; then comes fast." Forget where I heard that. Some movie.
I think it was Robert Culp in "Hannie Caulder" (1971). He was an old gunfighter, who taught the rape victim, Hannie Caulder (Raquel Welch), how to use a gun.
The quote stuck around in my head too - and I made the same connection between that and playing music that you did Cluin. I often say it to someone if I am trying to pass on a little of the little that I know about the subject of guitar playing.