JS
Yes, firecracker smoke, in the old-old days was identical to gunsmoke, both being "black powder."
However, Aalmost all "modern" gunpowder (even in the 1960s) is a mix of potassium nitrate, charcoal, and sulfur.
Firecrackers powder is usually made of fine aluminum or magnesium powder mixed with potassium perchlorate or potassium nitrate for a much brighter, louder crack.
And results in a different smell.
Many who smelled gunsmoke in the GK in the immediate aftermath of the JFKA were vets and police officers. They were confident in the witness statements.
My best guess is a sub-nose .38, which gives off a loud report and a lot of smoke (depending on ammo used), was fired near the GK. It was the concealed carry weapon of the day.
Caveat emptor and draw your own conclusions. They will be as good as anyone else's.