As a second round pick last year, Draymond Green established himself as a key member of the rotation because of his defensive abilities. After David Lee got injured in the playoffs, Green became a threat on offense as well since he had a 55% TS compared to a 40% TS in the regular season, largely due to his 39% 3 point shooting instead of a 21% mark. However, even though his playoff minutes accounted for about a sixth of all of his minutes last season, I just don't think that his true offensive capabilities will be anywhere close to what he showed in the playoffs. His summer league performance doesn't suggest anything to the contrary.
Though Green has a lot of fun with his three-goggles, I doubt that he should continue jacking up so many 3s because it seems unlikely that his 3P% would approach a decent level. Off the top of my head, I can think of Thaddeus Young and Josh Smith as players we would hope Green to become. All three players are defensively oriented PF/SFs with decent-good rebounding numbers as well as limited range offensively.
In his rookie year, Smith posted a 51% TS while shooting 17% from beyond the arc. Of course, given this, his 3 pointers accounted for only 4% of his FGA. In comparison, Green shot over a quarter of his FGA from outside the three point line. For his career, Smith has shot around 11% of his FGA as 3 pointers on 28% shooting. What separates Green from Smith offensively is that Smith takes far fewer three pointers while taking far more inside shots at a high percentage. While it is probably to much to hope for Green to become as good defensively as Smith, this should be an example of how Green should play offensively.
Similarly, Thaddeus Young has been restricting his three point game as his career progresses, probably due to the Sixers coaching. Young was a slightly below average three point shooter earlier in his career, and he has a 54% TS without 3 pointers. Like Smith, Young shoots mainly from the inside for a high percentage instead of relying on outside shots.
Like Smith and Young, Green (or the Warriors coaching staff) should significantly curtail his outside shooting unless he improved drastically over the off season. While Green may never become the players that Smith and Young are, he can follow their example. If he limits his three point shots and instead focuses on his inside game, Green will almost assuredly improve his offensive game and earn himself more minutes. Along with his defensive abilities, Green could become an even more important contributor this season.