I'd be really interested in seeing someone play through a game with 0 champion armies and see how it goes. Only use regular troops. Would be an interesting experiment.
I turn them off completely in FE all the time, and love it.
It changes the essence of the game entirely when sovereigns are the only beings of power in the world. Not only do they feel more important, but troops become much more useful as well. It also makes the unique play style of each faction really stand out. Meeting another sov in battle feels epic, and getting one to surrender is truly a feat.
I tend to play henchmen heavy games I might add, and LH is a different story.