I'd like this if I could. 
I'm in the minority of people who don't think Solas sounds too upset about the breakup in the Cole banter. In the grand scheme of things, the relationship wasn't necessarily that significant.
My point stands that if there wasn't something else going on, he probably could have answered. Responding to that at all, while nice of him, implies that there's more going on there. Then again, the "warmer and colder" about the article also implies that someone is at least partially right. I suppose that could be deliberate misdirection.
Either way, he must be having a lot of fun watching people try to make sense of it all.
I agree that Cole dialogue was not about the relationship. Personally, I believe Solas is anguishing over a mixture of what he has already done coupled with what he must now do. He is depressed and yet resolute in his decision. If you strip away any friendship with the quizzy and/or relationship, the conversation is one last goodbye and apology for the only person/spirit he cares about. Because you already get the apology and similiar conversation with Solas in your relationship/friendship. He says "what we had was real"/"I respect you." That is his goodbye and apology. The fact that he also gives one to Cole (presumably the only other individual he cared for) is worrying. He is truly saying goodbye and it is final. He is set on the path.
Honestly, I feel like the relationship with him is real and the emotions are honest, but he is set on the path already. So in the end the love only hurts him. The quizzy is just one more person, in presumably a long line of people, that he has utterly failed and betrayed. That hurts and is awful and is tragic. If we actually cared about the guy ... maybe we shouldn't romance him.
Of course I will ... always, because I like a good tragedy and I love that dumb man.
However, this raises so many questions about what and why he is doing this. Because it's very very hard not to trust Solas. If he truly feels like he needs to do something, what is it? I think that all of the things we talk to him about and everything the companions talk to him about and all of the times he concedes to another's wisdom and point is only because he allows the conversation to venture into topics he is willing to change his opinion on. Solas is controlling and manipulative. Those are not necessarily bad traits, but they can be.
edit- To quote my BF "Honey, put a damn point on it." Sorry guys, I rambled.