Tear is not an Imperial name, it's a Dunmer name. Natives in-game call it that; in probably one of the most evocative descriptions of the mainland given too (and actually the reason I got involved with TR). That's all that can be said!
Dres has nothing to do with the almost identical English word Dress, why is Tear any different?
More than that, it's a good name. Tyr reads like typical fantasy love of 'weird' letters, ys and ks and zs and apostrophes and the like.
Finally, further in-game dialogue already provides the alternative name of 'Dres' for Tear, so a third invented name is unnecessary.
In other news, Necrom is almost completed, and only a few misc quests are left before Sacred East is tested for release. Exciting times.