See my answer to The_Jamal.
I don't want to belittle Rudy Gay. He is a very very decent NBA player with lots of talent. But when the main cogs are in place teams often tend to value fit more than overall talent.
Rudy Gay playing alongside Westbrook? What's the purpose? OKC already has Kanter and Gibson as post up scoring options and other than that, they simply want guys able to play off Westbrook and able to space the floor. Oladipo is capable to handle the ball handling duties, when Westbrook needs a breather. Sub in Rudy for Robertson and you take away their best perimeter defender for another scorer. And Rudy would be asked to change his game quite a bit and to become more of a corner 3 guy. But why pay Rudy to stand in the corner and wait for a kickout? Would Rudy be an overall upgrade for OKC. Of course! But is paying Rudy, who doesn't really fit with Westbrook and their bigs their best option? I don't think so, especially when we keep in mind, that Kanter is signed until 2019 and given Kanter isn't a very good defender they might look for a SF, who really thrives on the defensive end, to make up a bit for their lack of defense from the 4 spot. Resigning Gibson also might be an option they are looking at, which might make Kanter available. But do you want to trade Rudy for Kanter, when we already have Willie, Skal, PapaG and KK? Because other than Kanter OKC really hasn't much to offer in a trade, that would make sense for the Kings.
We couldn't get the Rudy for Payne deal done. Now the ship has sailed. Resigning Rudy while hoping to trade him to OKC, doesn't sound like a reasonable strategy.
The Clippers definately are a different scenario. But we have to wait and see, how they want to go forward. I think this might actually be the season, where the Clippers decide to put an end to Doc Rivers and their big 3. They have tinkered around for years with their current core and still couldn't really get things done. Another dissapointing playoff run and things might fall apart in LA.
And I really disagree on the Warriors. I don't think the Warriors want Rudy.
It all comes down to how much money Rudy will command in the offseason. If he is healthy and willing to play for 6th man money a lot of teams will be interested. But ultimately Rudy only makes sense for teams, who want to win now, which pretty much excludes the Kings.
By the way - isn't resigning a player only for the purpose to use him as a trade asset a little bit cheap?