Like there are certainly advantages to going shotgun vs under center and vise versa. But that's not something specific to Jameis. There are very few QBs who make it in the NFL if they cannot play under center. It literally is goes into their draft evaluation.
Going shotgun is being miscredited as the answer for the offense coming alive (as is the personnel, going 11 the entire time). The answer was they went up tempo and that leveled the the field a bit vs the pressure. The defense didn't have time to get in pressure calls, put in substitutions, etc. They went into reactive audibles.
Naturally the response to that is gonna be "why dont the saints go 2-minute, no huddle all the time then". It's a better argument than only going shotgun or only playing with one personnel grouping because no-huddle base offenses are pretty common in high school and college. But there are answers for them too, especially at the NFL level, and honestly... Play calls are simply too long and verbose to call everything at the line.
The saints will have games where they go lighter personnel with 3 or 4 WRs for more snaps. And there will be games where they run a lot of 12 and 22 and tight end/back heavy personnel. This is a necessity in the NFL. Offenses have to multiple, so narrowing it down like that almost becomes cherry picking with "I want to see more Chris Olave and MT and Juice" = only that works.