Thing is Red has good reason to be a bit emo, himself. I'm sure they'd give him his share of angst. On the other hand, given that he keeps on appearing in literally every Compilation FF7 title in one form or another, they clearly have a story to tell and I for one would love to hear it.
Last they left off with him was in a book of some sort where he was talking to Vincent about how he didn't know if he'd be able to watch everyone he knew die due to his enormous lifespan. Vincent revealed to him that he had it worse and was, in fact, immortal, and the two made an agreement that Red would visit Vincent in Kalm once a year to relate the past year until Red finally passed on.
More here:
http://finalfantasy.wikia.com/wiki/Red_XIII
I'm such a geek. XD