Hello Tim,
A forum member here had a similar problem finding neutral safety switches (NSS) at two different locations on different '71 429 C6 Mustangs. I checked catalog info back to 6/71, and only one NSS for a '71 Mustang C6 is shown, the DOZZ-7A247-B. I checked my Mercury info, and it shows the same part # for the '71 429 C6 Cougar. This switch is mounted at the manual shift arm location on the transmission.
But, this is a mass-produced vehicle from the '70s, so variances (either by design or accident) and "Things" happen. I hear the same from my GM and Mopar buddies.
I have heard from some original 429 C6 owners who found an NSS located at the shifter. This is the same neutral safety switch/harness as the FMX. If you don't see one located on the transmission, pull the shifter cover/bezel and look for a tape tag with one of the following engineering ID#s C8ZP-A, C9ZA-C, D, D1ZA-AA (Part # C9ZZ-7A247-C). D2ZZ-7A247-B replaced this switch. This switch and others that you see listed as after 12/1/71 incorporate an extra circuit and plug for the loved/hated seat belt/buzzer system. This extra plug can be left unplugged or removed. The '71 shop manual does have one reference to the neutral safety switch adjustment for Mustang and Cougar with FMX or C6 with 429 engine at the shifter!
This is one of those times I would sure like to corner an engineer from these era cars and say, What.....were you thinking!?
And just for the sake of confusion, my '71 M code C6 Mach 1s (Early build 9/21/70) and late build 7/28/71) both have neutral safety switches located on the transmission.