My bike is a stock '11 . I had the problem where when cold the idle would go up to 2K and stay when cold. Sometimes it would drop, drop to the point where motor would stop.
Shop had bike for two weeks, said that kawa claimed it was normal for cold running.
B.S.
I noticed that it was worse when in eco mode. Note that once warm, bike idle was fine.
I then noticed that the header bolts were super loose. I tightened them up, problem went away.
My theory is that when they get real loose, you get a little leaking down there and the bike is running leaner than it should. Toss in eco mode and it just aggravates the whole problem.
I'd suggest that you check the tightness of those nuts.