If riot was to ever introduced like non-consistent damage output. they would have to introduce a variable to make it more consistent.
Example... If champions Q based on you luck at maxed 5 points into it.. had the chance to do Anywhere on or between 50 - 500 Damage (Depending on how lucky you are you could hit poorly or very high)
There would need to be a new variable set of item called "Balance" Now now.. I know this sounds funny but in another game I play, Me as an archer I see my arrows hitting some funky damage. One arrow could do 100 damage while my other arrow does 200. (I shoot two at a time)
This "Balance" Modifier.. helps my damage output and the more I have the more consistent damage I do so now both of my arrows do around 175 each.
Balance works in funny ways.. with a luck based champion being able to do very high or very low damage and you could buy a balance item.. for more balanced damage that is not too weak or too strong.. Because of this you might question you need for this balance but would you be willing to gamble your damage for those higher hits?
Edit: This is I think would be a very interesting concept for a champion but they would need unique items to them therefore will probably never even have a though for riot. xD
Having to think about how much Balance you yourself want for your champion to do the damage output you wish to do.. Too much balance and you wont be "OP" or "UP"