Have a feeling San Antonio doesn't make a move on Kawhi until after the major players in free agency make their decisions. Just don't see San Antonio doing a team like Cleveland, Philly or the Lakers a favor by moving Kawhi early hence making landing another major free agent easier for them.
If for instance Lebron decides to stay in Cleveland, then maybe Kawhi gets dealt to LAL. If either George or Paul land in LAL with Lebron, maybe SA sends Kawhi east. And so on. I just don't see SA dealing Kawhi to a team to make it easy for them to create another superteam.