The "Director's Version" is generally synonymous with the unrated, uncut editions available on physical media. There is no widely recognized "alternate" director's cut that differs from the primary unrated release. :
Finding a legal, safe, or even existing "uncut director's version" of Larry Clark’s is a notorious challenge for cinephiles and collectors [2, 4]. Since its debut in 2002, the film has remained one of the most controversial pieces of modern cinema, frequently banned or heavily censored due to its graphic depictions of adolescent life [5, 6]. The Controversy Behind Ken Park ken park uncut uncensored directors version link
Why the Director’s Cut Matters