Romance is sort of like friendship, but generally so far in the DA games it always is something physical rather then a platonic love, and since Cole had a very platonic level of friendship with Rhys that's as far as I can see Cole ever going, and that was some powerful love without a single move of the romances we see in game.
A hug, him sitting next to you, quickly running to your side automatically if hurt, a conversation, a smile. That's the sort of things a 'romance' I would prefer and figure they would do with Cole and hope they would if he does end up as one.
Exactly this. I would like him to be a LI, but not in the sense that I'd want it to end with "I love you!" and then steamy sex scene. Just something more platonic and innocent. We've never had that before, but I can't see it happening because of his age.
Saying that, I'll happily settle for just a nice close friendship (:
A romance like this would be a nice change after all the angst of DA2.
...you know that Cole is functionally a child, right?
What does that matter? Physically, Cole is an adult. Mentally, he is not. He does not understand sex, much as a child would not, and this is explicitly stated in the book.
Yeah, one should not really equate naiveté (or whatever other personality characteristics you consider immature) with Cole. It's explicitly stated that Cole sees people in the tower having sex, and doesn't understand it--there's no concept of arousal, not to mention the social under-development he otherwise displays.
If that doesn't impact you, and you really think you could "teach" him to understand these things... ummm, okay. Shine on, you crazy diamonds.
Hmmm... well, that pretty much answers that.

I'm in the camp of people who would only want a romance with Cole if he's changed since the events of Asunder. Gaider's posts make it sound like that probably isn't the case.