Problem with using a motorbike switch is they use a 12 volt system and that means their coil is powered by 12 volts, you switch the ignition of, that shuts power to the coil and the motor stops. With mower motors they use magneto ignition and once the motor is started (all the battery is
required to do on mower engines is spin the motor over like a pull starter) and then the only way to stop the motor is to earth out the coil. You can use the motorbike ignition key and the start button but you then need a kill switch button to kill the magneto