Still could be engine oil related. Since you didn't say what brand / flavor of oil you used, no one else can confirm if they have used the same without any problems.
I've had lots of problems with slipping and grabby clutches on other bikes in the past that was purely oil related, before they came out with motorcycle spec oil. Since then, not so much.
Before you spend any money on anything else, I would change the oil and put genuine Kawasaki motor oil in it. That way if you do end up at the dealer, you can tell them it has their oil in it. Otherwise, they'll probably throw that one at you first.
I don't see how bleeding the clutch would help (obviously it can't hurt though, just use DOT-4 fluid). The hydraulic system requires pressure to apply force to spread the clutch plates apart, and I know of no way the system would maintain pressure after the lever is released, that bleeding would fix. Maybe I missed something?