Mine started doing that too, Funny if I go for a ride it stays dry only when I shut it off and let it sit for a few hours. I thought it could be the oring and seal where the shaft of the pump slips into the block but if you go that far might as well replace the pump too, till then riding and...
I had one that flooded the cylinders with fuel from the tank and just soaked the intake valves turning the carbon into goo that hardened the valves in position, I had to take off the intake manifolds, valve covers and pick out the goo while tapping the valve stem to coax the valves closed.
A...
I would let it sit after a run for maybe 10 min. and pull the plugs, if you have a camera all the better, have a look inside the chamber and see if there is wetness, smell the plug for fuel smell, I am not sure if 1200 has a wasted spark ignition but my gut is telling me you have a cylinder...
Thanks for the advice, funny I forgot the cover had to come off I thought the water pump screws were on the frontside of the water pump, yes I will be rebuilding my pump if possible, might not come apart so easy , just bought the KP set from Japan.
Have an oil leak from the weep hole on my 1100, want to just replace the oring seal and gasket but just because would be nice to have the other stuff incase things get out of hand...