After this contract if his status remain like that maybe other team might doubt to offer him a big contract again. He's aging player and that's bad business for a team if they get a injury prone player. NBA is business and they need a player that can lift their team to championship since this will determine the value of their team also the revenue they can possibly get from their fans. But for now Kawhi is a hot player for them and still Clippers still value his contribution for his team.
They have been trying to win something with him, but they failed so far and I think it's clear that we are not going to see them do that well this season neither, they are losing players to other teams and Kawhi could leave too and then they could rebuild. While it is not ideal to keep rebuilding, they definitely do not have a chance to win anything with their current roster.
Clippers put so much effort into Kawhi but it didn't come to any wins at all, Lakers must be feeling quite happy that their deal was rejected, if they got him, they would have to lose every other good player and just be Kawhi and Lebron and AD and just 9 other minimum contracts that's it, which wouldn't have won anything. Now they have a few other decent players, not like they are doing great now, but at least they won a title and Clippers didn't.