Bad neutral safety switch?

[Dino]

No crank with key in start unless I ground the NSS tab on the starter relay, meaning it can start in any gear. I have continuity between the center pin and the body of the NSS. I also have continuity across the brown wire connecting the NSS to the starter relay.
Bad NSS despite having continuity?

[b5blue]

Did you do the wiggle test while trying to crank? (Checks linkage.) 

[Dino]

Yes I did. No change

[b5blue]

 

[John_Kunkel]

I have run across instances where a circuit will ring true with a meter (only a few milliamps load) but won't carry a heavier load. Try hooking a 12v light bulb to the brown wire and see if the bulb will illuminate brightly using the brown wire and NSS as the ground source.

[Dino]

Somehow I broke a pin off the switch when removing the plug. I installed a new switch, same problem. Car starts with a ground wire to the starter relay. Wiring has continuity. I'm confused.

[b5blue]

I have had several "New Part" fails out of the box. 

[Dino]

Two in a row though?

[Nacho-RT74]

What about test the NSS straight at plug but out of the transmission? Grounding the center contact of NSS. That will discard switch itself, and points out to the roostercomb/lever inside the transmission