BB Dave,
I think I got it,,,,,,,,after 43 years.
The black rear trunk-lid deck panel 'applique' black with the 'Formula S' medallion on the
right side of the panel, only came through with the Formula S package, either with the
standard 340 engine or 383 optional engine.
These cars, also had the 'Barracuda 340-S' emblem on the front fenders.
The standard Barracuda, ordered with the Code #E55 (340 Engine Package) also
had the 'Barracuda 340-S' emblems on the front fender.
The 340-S emblem really had nothing to do with the Formula-S handling package.
It was nothing more than an engine application call-out.
A 1969 Barracuda could be ordered with a 340 engine, but not required to have the
Formula-S package.
On the other hand, the 383, 'was required' to have the Formula-S package, with
E-70 x 14" wide oval tires.