If you used the "luck" skill you will see that her status on her will say "Enemies attack miss". So in that sense its like Cybele's or Heimdallr's one turn miss ability.
But what's different is that if you used her luck buff and follow it up with the "Lucky fire" her single target damage ability immediately on the same turn it can reach it's maximum damage. My testing reveals that without the luck buff she only deals around 8000-10000 damage with her lucky fire. With the luck buff, it always hits a little over 30k every time. So the multipler is around 3-4 of the normal base damage.