Hello,
I purchased several cases in response to posts on this forum while looking for an extremely thin case.
I have the Veil, the Desmay Slight and the Air Jacket.
As far as thickness go, the Air Jacket is slightly thicker than the others, however you would be hard pressed to see it unless you literally put them right next to each other.
From a protection standpoint, the Air Jacket is clearly superior than the other two, its much more solid feeling, but also a bit rubbery to offer a slight amount of shock absorption.
The Slight also has a somewhat rubbery feel, where the Veil feels the most plastic of the three.
The fit of all three are all perfect IMO, no gaps or loose areas. The Slight and the Veil are quite easy to put on the phone and remove, however the Air Jacket, being more solid, is more difficult.
Of the three I prefer the Air Jacket the best, however I worry that the phone may be damaged by taking it in and out of the case, its that tough to put it in. If you are the type who wants to change up cases for fun, or try new ones as they come out I would not suggest the Air Jacket as you may end up scratching the delicate finish of the phone.
But if you just want one case and are going to leave it in there, I would recommend the Air Jacket over the other two. The slight, almost unnoticable increase in thickness is IMO, offset by the greater feeling of protection. I also prefer its total black look over the rather brownish Veil, and the semi transparent Slight ( even though I purchased black, its more of a slightly transparent charcoal ).