Thanks, checked as you stated and no continuity....looks like replacement is in order>
First, make sure you're really in neutral and not a false neutral. There's nothing really to go bad in the switch, it's just a metal blade in a black plastic holder.

You can probably just bend the blade of it up to make better contact with the bump on the shift drum. I've found it's easier to remove the switch from the transmission case if you back off both nuts on the stud. The nut and washer closest to the plastic base expand it slightly when tightened.