if that ski has had the solenoid update kit( I can't really tell from the pics) then its a spare/test lead. the way to tell is if the two smaller wires plug into the solenoid instead of bolting on. wire diagram is in the shop manual(google is your friend).
no beeps with lanyard on...where to start? The motor will try to crank when jumping relay but i have no dash, no beeps and someone disconnected the rear vts from front ebox. Already checked fuses...good