Of course I hope for the best.
If the battery selector switch was placed in Both position with reverse polarity, even if on the way from 1 to 2 position, , it seen a full blown short curcuit, enough to weld metal. If it did happen, then being that it survived and didn't blow off and take a finger or two with it, it is still good for nothing. This cat only has one live to survive such an event, not another.
Once the motor is connected to the battery reverse polarity, it doesn't need "ignition on" to be affected.
Ignition on may make it worse. I agree crank motor and T&T may be OK, not anything electronic or otherwise solid state. I'm particularly concerned with charger/regulator that always is connected to battery even with key off. On older motors I think powerpacks and coils get power from stator coils when flyweel spinning, so they are self powered components. I hope.
After the motor fuse is replaced, and if the motor cranks buy doesn't fire, the dealer when told what happend. will know exactly what the repair bill will cost. If the motor cranks and fires, buy doesn't generate charge voltage, he will also know what repair bill will be.