Even more so considering that I believe Clan Lavellan seems to have a Second as well as possibly a Third, meaning there would be no reason to make Lavellan the First unless the Second or Third were so utterly undesirable as a Keeper that they made Lavellan look the better choice.
Unless they sent a Dalish-hating mage Lavellan alone to the Conclave was in the hopes that they'd not survive either the journey or the Conclave if things went bad, so they'd finally rid themselves of an absolutely terrible future Keeper... which in which case, I kinda don't blame Lavellan if they screwed up the war table mission and got them all killed later on.
As a Dalish Mage, your character will logically end up with either Josephine or Dorian or Solas or Cullen. The rest either harbor some form of hostility towards magic and elves.
What about Blackwall, don't remember him ever seeming to have some kind of prejudice against magic or elves?
I mean, his best friend in the Inquisition is probably Sera who's an elf, and his clashes with the mages are more about other things than magic. He's not that close to Solas because he won't stop insulting Wardens, he doesn't get along with Dorian because he thinks he's nothing more than a pampered noble, while his attempts to be civil to Vivienne often are rebuffed because she really is an elitist snob.
(Although I'd say that Blackwall kinda suits an Adaar or Cadash more, as their own somewhat murky past makes it easier to sympathise with him, and because depending on how you roleplay them, they could easily have done similar actions in the past)