Roman Rota System

This is a sort of strange idea that came to me yesterday in my Roman history class. At this point we are approaching Caesar's rise to power, having just finished up the dictatorship of Sulla and Pompey's rise to prominence. I started thinking about how messy the civil wars were, including Sertorius' stint in Spain, and then how much messier imperial civil wars were. I know the imperial succession was often unclear. If the trends of the Republic held clear, it was in part because of commanders and governors feeling more loyalty to themselves than to the state itself.
So. What if, at some point during the imperial period, perhaps during the Crisis of the Third Century, something like the Russian medieval rota system of succession is put in place, but with provincial governors instead of feudal nobles? It would be similar to the Tetrarchy, but I wonder if it might calm things by giving more men an opportunity to the top. I know it's a bit out there, but I thought it might be interesting to see discussed.
One problem I've realized is that it doesn't really do away with ambitious men plotting for the top or their own petty states. Instead of deposing the emperor, a governor would just kill the next governor in seniority.
So perhaps the result wouldn't be more stability, but just a different set of civil wars, perhaps more local and contained as the governor of one province attacks a more senior governor of a nearby province, trying to move up the ranks of succession, instead of marching on Rome or whatever.
Thoughts?
 
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