Yes it fits in well with his job description - and you are right about the utilitarian approach. Even though they believe EVERY SINGLE SOUL/EVERY SINGLE CHOICE IS IMPORTANT, some realities have to be pruned.
But I wonder how Dresden would fell about uncountable lives being extinguished. He doesn't see eye to eye with Heaven on a lot of things.
I find myself wondering what the other Archangels, and other angels do as well.
If Lucifer spends the majority of his time lying and compromising choice and Free Will - which all angels have to SOME degree - but not the same as mortals, what does Michael do?
Because it seems like Uriel does most of the counter moves. And Raphael, from a reader perspective is the most mysterious. The Healer doesn't seem to be very active at all. Gabriel used to be very in contact with humanity, what happened? What do all the other angels, apart from Cherubs and Angels of Deaths do? Guards, messengers, warriors are the norm. And Fallen must have a bit to do as well.
Have the other Archangels destroyed realities? This fits in with the line from Uriel "I was fighting wars before your planet existed" (to paraphrase). I love getting into the broad cosmology of things.
And tbh I never really agreed with The Mothers being at the same level as Archangels. I think that has been retconned. However, perhaps not because as Jim says - the beings do NOT change, only our understanding of who and what they are. And maybe the Archangels and the Mothers represent something beyond our myths, something Jim has created for the purposes of his narrative.
Just because Uri was named as a universe destroyer doesn't mean the others haven't either.
There's numerous theories about the others, though.
1) The Arches could transcend realities (one consciousness for all, rather than one in each) and therefore have to split (non-linear) time between them. Harry's universe could be largely overseen by Uriel, while the others are overseeing mirrorverses, but they pop into Harry's when needed.
2) There's a theory that each SotC is backed/sponsored by an Arch. My guess would be Uri/Fidel, Mich/Esper, and Gabe/Amor, but it doesn't matter too much. That leaves Raph (don't get me started on what he's doing) and Luci without sponsorships.
3) Based on Mab's comments in Small Favor, we can guess at what the others are up to, in parallel ways to how Uriel works. He recruits agents and spies (ironic that he's the Light, but he works in the shadows?). Michael would recruit warriors to ride into battle (he's recruited at least one, in Sanya). Gabriel would probably back the church, singing the praise of TWG and spreading the word (he's the Strength, the church is the Rock.. parallels?). Raphael would handle... Let's just say "incarceration" for now.
As for Harry's thoughts... I imagine he'd take the politic route for once. But him finding out about that kind of thing, and throwing Uri's criticism of "roasting marshmallows" in his face, might be interesting.