Maybe, maybe not. Keep in mind, my theory is that Daemon was planning to replace the Great Houses with his supporters, so you’d still have the institution there, just different occupants of the offices:
“the Reynes as the Lords Paramount of the West, the Yronwoods as the Lords Paramount of Dorne, either the Freys or the Lothstons as the Lords Paramount of the Riverlands, possibly the Hightowers or Oakhearts or Peakes as Lords Paramount of the Reach.”
Whether that would have led to more local conflicts than Daeron’s punishments of the Blackfyre supporters, I think it’s hard to say.