Speaking as someone who's not particularly a fan of Conner nor Tim--and subsequently, has had no interest in their friendship--I thought this was absolutely wonderful.
They actually sound like people, like real friends talking to one another, not just characters being put through the plot wringer of soap-opera superhero storytelling. Maybe I'm just feeling weird from the sheer amounts of green tea I've been consuming today, but dang it, I was actually moved by Tim's "I am so screwed up right now" moment.
You just don't see enough scenes like this in superhero comics, where the focus seems so much more on ANGST and ACTION rather than character moments like these.