I believe you but I don't see any wetness in the area behind where this puddle is forming. Here's a picture of what I mean.
Attachment 83415
I'm going to find the manual for this thing and see what I'm looking at, if I have to pull the motor I might as well replace seals and gaskets while I'm at it. I was thinking the valve covers looked warped a little but on closer inspection it looks like they have a shape to them where they are thicker at the edge in the middle than nearer the bolts. I don't have any experience with these Kohlers. Only Briggs, verticals and vanguard v twins and the older K series kohlers.