The reason Lucian cant be balanced.
His playrate. With a playrate that high, Lucian being ANY sort of competent will cause his playrate to skyrocket, which in turn causes its own issues.
The issue is unless you rework Lucian to make him less fun, and more clunky (which in all honesty isnt a good way to balance) He will ALWAYS be a problem.
People assume that playrate is the main contender behind winrate in balance. But the issue with that is some champions just attract more people. 53% winrate with a 51% pickrate isnt actually that bad.
Vs 
Every game Makes support Very boring..... er.
or 
, and do nothing but roam.
support and do nothing but split late game.
bot. Or 
bot. (May have to do more than duo depending on how good you get at it to reduce flame.