More offense under center???

What would be the results of running a passing game under center or even running more of the total offense under center? What are the advantages and disadvantages?

Shotgun is easier for protections. It is quicker and faster to be in shotgun. The formation is more balanced with the back squarely behind the QB when he’s under center.

I’d be interested in a breakdown of stats. My gut says Austin is better in shotgun, even though play action should be our bread and butter.