69 Notchback Mod Top $5000 Illinois. Marketplace NOT MINE

Something definitive would be nice. I've heard the S vs 340-S and it makes ZERO sense that Mopar would make a 340-S and separately a Formula S.
I owned my S and researched for over 30 years, with still no definitive proof either way.
Makes no difference to me either way, sold the 69 S and now focus on our 67 S.
The S still stood for formula S. So 69 dropped the medallion on the fender, dropped the fish but added 340-S under the barracuda script which that car has none. I guess you can`t provide the story or add on that car like I asked? My guess it`s a mod top with a teener.
No need to be sarcastic and tell me to learn about 69`s , I`ve bought several good books on barracudas, and had to pull them out to check. Prove me wrong? I`m always open to learn...