Prompto is definitively the priority right now. They need to catch their breath though before they go back into memory nebulas. It is extremely tasking, especially if you jump from one memory to the other, which Noct probably did.

But- that's Noct. Not wanting to leave anyone behind. And Ignis is proud to be his advisor.

Ardyn as an ice statue? That paints an interesting image and makes Ignis' eyebrows rise slightly. Is permafrost a thing? Maybe they should keep him frozen forever.

He doesn't look over Noct's shoulder, of course. Ignis respects Noct's privacy- before and now. He actually really doesn't like going through his things unless he really has to.

"Good. In the meantime, have the tea and take some rest. You could take a nap in the infirmary," Ignis says. "If Prompto is trapped in the nebula, we will need strength to get him out."