That brown/black wire has nothing to do with the actual neutral safety. On Our columns the part that rotates weather column shift or floor shift has a mechanical part that stops the key from going all the way to the start position unless in the park or neutral location. Factory floor shift cars still have linkage hooked to the column for this reason. To rotate the interlock.
So in the end that plug wont stop the car from cranking in gear no matter what/where its hooked up to now that the column has been changed ? I guess I'll just have to tape it off, stick it back up under the dash and use the relay set up from Painless. Ive said this before, I can do a decent amount of stuff but wiring isnt a strong point.