A look into the state of Lulu
TL;DR: lulu's the most broken champion in league right now.
Following Dr Sona x Rubik's thread, this is an investigation into the "potential win rate" of Lulu at high elo.
What is the potential win rate? it is how much you can do with her if you are really good on her. It's not what the average player can expect to achieve if he just plays lulu, but rather, how much a dedicated and proficient and SUCCESSFUL (not one of those 40% win yasuo one-tricks I find in my elo) lulu player can squeeze out of the champion.
How does this manifest? A player who's MMR is stable, if he picks up lulu to one-trick, will gain MMR. This increase in MMR represents the strength of the champion.
Alternatively, if a player is keeping his MMR stable through losing with other champions, the win rate on Lulu represents her potential for this player at that MMR.
this is a very mild example. realy working examples are much more obvious:
In both cases we have to assume there is no malice or "doctoring of the results". Its very easy to doctor the results if you are a good player. All you have to do is throw away some games (lose intentionally), or use some other method to get easy opponents. For instance get a silver account and one-trick lulu on that.
Here is how obvious results doctoring looks like:
As you can see this account starts in Silver (this account only exists in season 7) and climbs from there. The high win rate on Lulu (and Sona) only represents the period in this account when the player was against very easy opponents (from his perspective as a diamond 5). I.E. this explains nothing about Lulu (or Sona) because the players were not evenly matched when this data was gathered.
Using league of graphs, I went over the 50 best high tier lulu players. I attempted to weed out the ones I thought (qualitative process, sorry, not the good old fashioned scientific method) had errors due to starting the account in low mmr (about 30-35 of the 50, btw), and my conclusion is thus:
lulu right now can reach 60-75% win at the hands of a skilled OTP.
I.E. she's broken as fuck.