Remove coil from eng & take with you,fri-sat check with several local mower shops to see if they have a coil tester that they can test coil with,some shops have a tester for this type coil,others don't.In the meantime if you haven't done so already,check plug lead with an ohmmeter,you might have a bad plug lead,also use a new plug for testing as old plug may be bad.
If local shop can test coil & same is bad,kohler online parts lists coil for $193 if that's any help.
One thing that confuses me in you reply,when you said you disconnected kill lead at sw,do you mean you disconnected kill lead where output from trigger module & coil join OR at ign sw itself?
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