That would be cool. Harrowmont is a huge traditionalist, so he'll probably share Enderin's thoughts on the matter. "Kal Sharok shall respect the rule of Orzammar, or they will rot and die alone, surrounded by enemies."
BUT, he was also Enderin's High General (his codex), so he likely has a lot more military experience than Bhelen, who seems more like a social progressive in Orzammar, and more willing to lay down the hammer of the crown, but I can see Harrowmont having more success in the deep roads with the golems than Bhelen because of his military experience.
Oooh, I so want to see how Harrowmont or Bhelen affect Inquisition!
I hope we see it, too. I see things being potentially different, though. I can see the warrior caste, the casteless recruits, and the golems getting back some of the lost thaigs under Bhelen's rule. Perhaps even mages, if an independent Circle formed in Orzammar due to Dagna's research.
If there's a power vacuum for the traffic of lyrium on the surface, I'm looking to get into the monopoly on the lyrium trade, now that the Chantry has been crippled. It's the Spice of Thedas.

As a side note, for those who sided with Bhelen, I hope we learn about Renvil Harrowmont, and what happened if he made it to Kal-Sharok - since he is the last of his House.