Lucci got Ko'd, and Kizaru got paralyzed. If you mean "permanent," then yes, no one is defeated. I dont. Luffy shat on both Kizaru and Lucci even saturn if it wasnt for regen thats WAY more than enough for me.
They both were saving arcs, but they turned into running midway/end. I wouldn't say they were exactly escaping arcs. This is the only arc that comes to mind as my sole escape.
I mean, if you look at Ennies Lobby as escape arc, then so is the Sky Island arc because they run after finishing the arc. Again, I don't count 5 chapters trying to escape as an escape arc.