Are you kidding?
Spurs are in a dire, dire need of an additional perimeter scorer right now, especially one who is a volume 3 point shooter. The Spurs don't have any ball dominant players on the team, which would definitely appeal to Durant who's had to watch Westbrook chuck 30 shots per game up for the past 8 seasons (Westbrook is a beast, but typically, volume scorers like Durant don't like playing with other ball dominant players). If the Spurs can retain Green, KD gets to play alongside 2 of the best perimeter defenders in the league, meaning he has to carry less of load defensively. Even if the Spurs have to move Green, playing alongside Kawhi has to be a very appealing idea.
And of course, LMA is a name, and Parker, even though he sucks, still has "name" value. Not to mention the gravity Pop has with the players around the league. Furthermore, Pop is coaching Team USA, so if KD and Pop form a relationship, the chances are even better.
Why does Spurstalk want him?
Because we have ONE legitimate perimeter scorer on this team. Manu is done. Tony is about done. Green is one-dimensional. And our bench perimeter players (Patty, Fathead) are unreliable.