So what I'm getting from all of this is that the Crown of Eyes can give us helpful, relevant information. That's great.
Problem at the moment seems to be that there is literally nothing we could learn that would really help the situation, not at this point. Yes, we could satisfy our curiosity to some degree, but it's unlikely to give us additional agency or leeway in the immediate future considering the events which have played out to bring us to this point. The price of satisfying that curiosity would probably alert everyone in the room, bar Murphy and Mama Carpenter, that we just did something fucky with weird mystical power which may or may not conform to the local metaphysical paradigm.
Wouldn't it be better to hold back on asking until we're home behind a really solid threshold, one that, IIRC, has Archangel juice powering it? Hell, just not being around potentially unfriendly actors, and that's pretty much all Fae in Dresden Files even if they seem like your allies at the time, would be nice, too.