OK, how about this.
Would you allow that an individual with the both the personality and a similar life story as the Huey Long of our timeline could exist in a Confederate victory universe?
That such an individual could rise to prominence in Louisiana politics in the twenties and hold a Senate office in the early thirties?
In addition, that said sapient would have a chance at being elected President and thereby taking the oath of office in Richmond?
Yes, in a Confederate victory universe, an individual with a similar personality and a similar life story to that of the OTL Huey Long might well arise. However, this Huey Long analogue person might not arise in TTL during the 1920s & '30s, for the reasons Japhy stated ...
The problem is that Reggie's CSA makes no sense. Its a confederate apologetic's dream version that has next to no contact with reality. Long all butterflies aside, would not have access to power. The south would not be a functional state.
And any theoretical populist movement in the country would have long set sail by then. You want revolutionary change in the South? Zebulon Vance attempting to create a multi-party state or Tom Watson's Anti-Aristocratic Populism are the ways to go. If its up to Huey Long, then the Military (If not the Union) has probably already ended the farce of CS "Democracy".