For who Damon is, how would you have written him pining after Elena?
Well, this actually requires a bit more specificity. Do you mean who the writers say Damon is or for who Damon actually is?
Because, and as I've said repeatedly including in my three recent posts, how the writers characterize him and how they actually portray him are contradictory.
They've always been wildly inconsistent with Damon's characterization, what irritated me the most was the way the dialogue and action would contradict each other when it came to Damon and his emotions:
the show packages the feelings he has for Elena as something specific to her, I sit there like but it’s not, though. Season 1 was all about how Damon would do anything to get Katherine back — it’s not like Elena awakened in Damon the capacity to feel because he’d been feeling and waiting for Katherine for over 100 years.
So when Stefan and Damon have that exchange in 2x01
I’m sitting there like but that part of him was NEVER destroyed! Damon’s problem is that he can’t handle what he feels so he kills people because it’s easier than dealing with his shit.
But that isn't the same thing as not being emotional. Damon is, hands down, the most emotional person on the show.
In 1x06 alone, Damon saw a picture of Katherine, got sad,
slow-danced with Vicki after seeing the picture because he was feeling a type of way
and then killed Vicki as a way to deal with his grief
He killed Lexi because he felt guilty, he killed Zach because he felt guilty
he kills random people because he's sad Elena's "dead", he kills Aaron because he's upset about Elena breaking up with him
So, are you asking me how this guy would pine? Or how the guy in dialogue would pine?