I think their priority would be mending the Veil Tears and getting stability back to Ferelden. There seems to be a big problem in the Hinterlands due to the mage/Templar war and ordinary people are suffering because of it, plus the resurgence in dragons. I think they are probably relieved that Orlais has its own problems and so allow them some breathing space. It is possible they may offer some comment on the civil war, considering that Celene was the one who instigated the peace between the two nations and Gaspard is a known warmonger.
I seem to recall that they might be willing to give you permission to use the Hero of Ferelden logo as an endorsement of your actions, presumably if they don't view you as too radical and likely to harm the image of their hero. I'm hope there is either a quest to find out what has become of the Warden or they are at least able to fill you in on this.
I think Inq's priority is mending the veil tears. Anora or Alistair will see this as a first priority, the same way most people saw the Blight as the real threat instead of the civil war. The mage/templar war is going to have a lot of fireworks, and polar views, and is another distraction. As is the elven uprising, which Anora has reason to dread, if she's queen, and Alistair would have a reason to have feelings about, if in 10 years, he's found out who his real mother was. Both Celene and Gaspard recognized the strategic importance of having Ferelden as an ally. Gaspard went for an upfront insult, and Celene might have preferred it to end diplomatically with a state marriage and all the trimmings.
I will take issue with the statement "a known warmonger." It's not that easy. Gaspard wanted something to increase his position as the man who brought back the empire. Celene would have supported a marriage she didn't have an interest in, and both would have sold their mothers if they thought it would help. Celene is rightful ruler...yeah, because she won. She beat all odds with a bit of slaughter of innocents and betrayal of whatever feelings she was capable of possessing, but she sacrificed her own happiness so she could get what she wanted. Rah. Loghain said something about all he could wish for was being able to sit at a wartable with the men he'd sacrificed still to be there.