Well, just chiming in to this thread and offer my condolences to those who were really hoping for a Varric romance. I, for one, am INCREDIBLY disappointed. Not that Varric isn't a LI. I trust that Bioware has their reasons for this. Personally, I'm hoping that he will have a shocking meet-up with Bianca(the woman) during the game. As disappointed as I was that Aveline was not a LI in DA2, her little side-romance with Donnic was very sweet and enjoyable. So this is my hope for Varric.
But what I am very disappointed in is that this continues Bioware's pattern of not having a dwarf LI. Ohgren, Sigrun, Varric. Three dwarven companions, all with interesting personalities. All with perfectly valid story reasons why they are not LIs. I really hope that Bioware can include a dwarf(preferably female) who is a LI in the next game. I'm tired of humans and elves getting all the love.
Heck, Qunaris have gotten a LI before us dwarf fans.

I'll enjoy DA:I a great deal. I am not angry at the devs. Just voicing my displeasure at a consistent design choice that they keep making. Varric was never a LI beyond my dwarf Inquisitors. However, he was the driving force behind my playing a dwarf first. For once I wanted to see a dwarf/dwarf romance for a PC. Varric seemed a prime opportunity, given that Bioware knew how much demand there was for it. So I'm really curious as to the story reasons they have for it not happening.