Possible bug here. I haven't seen anything like this.
I don't have any pictures, or recordings, etc, but it's happened twice in the past few days, which is weird considering I've been playing since just after the beta and have never witnessed this.
As Ashe, I hit a Kalista with the ultimate ice arrow right at the beginning of her jump animation and the damage was calculated, but the stun did not go through. The animation continued as did her attacking, as well as jumping around, although no damage was dealt.
The second instance also occurred as Ashe. Right at the beginning of the animation when Braum jumps to a target, I also hit him with an ultimate ice arrow. This again caused no stun to happen and he was free to move.
Now, I'm not sure if this has been reported before or what the deal is, but I know in other games, cancelling animations before they finish allows new movement to still occur while the effects persist through. GunZ: The Duel is a good example of this.
Kepe in mind, these separate events were both witnessed while the other player did not have an active Banshee's Veil.
So yeah. Food for thought. It sounds like it'd be extremely hard to replicate these results, but I'm just getting my two cents in.
Thank you for reading. :)