Jane has a weird way to make friends, but considering how the relationship between the doc and Jane ended there's no doubt they were friends in the end.
Later he’s stays with this exact character when he kills himself because he has an incurable disease, so oddly in the end they do become friends Jane is there for him when no one else is.
I love how even though the guy is kind of a pompous ass, he's one of the few people Jane shows genuine empathy towards, after he realizes that the doctor is dying of cancer.
