It is highly likely that the quoted woj has something to do with Murphy’s situation because of context and she was in many respects still a catholic christian. But yes Vadderung had some arguments too so I think there was a discussion.
There may have been, but in the matters of what happens to the soul, that is out of Uriel's hands.
As he said to Harry;
When you say what comes next, what do you mean exactly?"
"The part involving words like forever, eternity, and judgement."
In other words what happens next is up to Uriel's Boss.. Uriel also said something else to
Harry that it was about faith, not knowledge.
I think shocking as it may sound that Murphy rejected her religion when she thought Harry was dead. Contrast her attitude about being a Knight and the Holy Swords and what the Knights stand for verses Michael, or even Sanya who claims to be an atheist. Nic tested her faith, and he won, a Holy Sword was broken, it was the Sword of Faith.. Let's not forget that Murphy proclaimed that she was a better suited to judge Nic than the Almighty, someone of faith wouldn't think that.. What comes next is the consequences of choices made in life, Murphy chose to reject her faith in higher power and to rely on her own judgement instead.. She chose to become a pure warrior, though her death was stupid, her final act was that of a warrior.. So the consequences was to be sent to Valhalla to still be a warrior.