Am I wrong in thinking that these magnetic switches do not actually use a magnet to engage and require a physical push? I would think that once pushed the power activates an electromagnet that holds the switch closed and if power is disrupted then the circuit is broken, the electromagnet no longer produces a field and the spring loaded switch opens.
If my assumption is true then no matter how strong a magnetic field you get from the lightning it does not close the contacts on the physical switch and therefore there is no power to the saw.
I imagine the magnetic field generated by the lightning caused induced current in the motor windings causing a minor twitch to the blade but could never be strong enough to spin the blade fast enough to cause serious damage.