Giacomo, you're exactly right. Hearing someone born in Mobile in the 1930s it can be difficult to distinguish if they're from Mobile or New Orleans or anywhere in between. If I heard that clip of Trafficante, without knowing who he is, I would be able to place him somewhere on the Gulf.

Galassi, a lot of people are losing their accents in Tampa and everywhere else unfortunately. There's a video of Trafficante's lawyer Frank Ragano. He has a distinct drawl that the majority of people would be able to place him as being from somewhere in the south at least. He's a Tampa native.
You said maybe Trafficante has a Florida accent. Dixie said it's not a southern accent, it's a southern Creole accent. Aren't both of these akin to saying 'he has a Chicago accent, not a Midwest accent' or 'that's a Boston accent, not a New England accent'?