I know there are actually characters that they deliberately make for us to hate. However, I really think it just depends on who's playing and how they're playing it.
For example, I think it was stated that Morrigan was supposed to be disliked? (I could be wrong, going off of a very bad memory recollection, so spare me. lol Maybe it was Sten? Can't remember. Sorry!)
However, I personally liked Morrigan.
I've played a few characters who hated her though, some who ditched her at Lothering, others didn't trust her, some just saw her as a friend, and also had some fall for her.
That being said, I'm not a fan of Leliana. As far as I'm aware though, the majority who have played do.
My Warden, Aragon Aeducan, absolutely loved her though and made it easy for me to "love" her too.
I'm not going into Inquisition "hating" Leliana. I'm giving her the benefit of the doubt right now, but we'll see.