I just bought an '09 K1300S last month... experienced the stall issue three times prior to the 500 mile mark on the ODO. The last time it happened, it seemed to me I was pulling the clutch lever in rather slowly when coming up and exit ramp preparing to downshift and stop. I was in third gear pulling in the clutch lever to shift to 2nd. Since then, I have consciously pulled the lever in quick and for almost 700 more miles now (1130+ total on the bike) I have not had it stall again. Around the same time, I switched from premium to mid-grade gas, which the manual says is OK - more mileage, less performance, which is fine by me - it has PLentY of performance. We don't, in general, have ethanol in our gas here in West MI, so I cannot comment on that suspected relation. I have traveled through MI, IN, IL, and WI now, all in the last 700 miles, gassing up in each, and at least one must have had ethanol and no notable effect.
I am absobfreakinglutely lovin' this bike...!