If Denethor hadn't committed suicide

[Erendis]

Originally Posted by Inziladun

The question there is whether Denethor would have allowed Aragorn the chance.

How true!
I can actually picture the scene:
Denethor wakes up in the Houses of Healing,Faramir,who was sitting next to him all these days stands up in joy,tells him something like"Father,blessed be the day the King came back to us!For by his hand was the shadow of the Enemy remooved from you."
Denethor stands up frustrated,paying no attention to Faramir.Just in time,Aragorn enters the room to see how fares the Steward.Denethorr turns to him,raises his finger and explodes"How dare you heal me without my permission,you last heir of lessen house!"