Yes.I thought Lily was doing her duty as a prefect when I read this scene in OoTP.I didn't think she liked Severus because she 'was going to smile' ,laughed at his poverty and called him 'Snivellus' .
Plus I didn't think she really cared about him.IMO whatever Severus called her,she should stop the bully first,because it was the duty of being a prefect.But she just went away.

So in DH I was very surprised to find that they were friends.