Why would I count that? Do you think players only ever freak out because they want a trade? There was never any report that Kawhi asked for a trade during the season. Him acting the way he did was not an attempt to force the Spurs to trade him. It makes way more sense to believe his freak out was mostly about what he said it was: disbelief over the diagnosis the Spurs gave his knee. It's likely not going to be said much on this forum anymore, but a Kawhi who avoided any major injury situation might have had a chance at GOAT-candidate status. Even if you wouldn't go that far, there's no reason to believe he wouldn't've passed up guys like David Robinson. He basically was told he'd be a part-time player the rest of his career and would thus likely fail to make the same kind of legacy on his own. At best, he'd get accolades mostly as part of the Spurs' system, ala Duncan where dumbasses still think Pop made him despite his own greatness.
If you actually look back at the leaks and don't project Leonard wanting to go to LA on them, it seems pretty clear. The Spurs gave Kawhi a career-altering diagnosis just as he was hitting his prime, and he went through multiple stages of grief about it. Kawhi was like 25 when that happened; it's not surprising that he didn't handle it well. Seeing as he had a group of hangers-on who were hoping he'd be this huge cash-cow, he had a lot of people who were perfectly willing to lash out on his behalf. I do think Kawhi wanted to go home, but I believe the push for it was a response to the crisis he and his group had over the injury. The Spurs accommodated Leonard pretty soon after he actually asked to be traded. There's not a ton of reason to believe they sat on the request for a whole season.