The term STAT CHECKING needs to be a bannable phrase on these boards

Because it's almost never used correctly. The term stat checking has become synonymous with champions who have the capacity to outplay skill shots or melee champions: I.E "Vayne is a stat checker because she can kill tanks!!" No, she's not. And yes, she's anti melee. I'm sorry bruiser players, we cannot duel everything. That doesn't make her a stat checker, especially considering mages with targeted burst ruin her.

Stat checkers are champions who simply lack any real gameplay and rely on simply having better stats than their opponents to win. Some examples are Trundle, Rammus and like 60% of Irelia/Jax/Nasus kits. The reason why I mention the ladder three is because they aren't exclusive in this sense, many champions have "stat-checking abilities" but still have a great deal of gameplay around them despite these qualities. That doesn't make them stat checkers, that typically just makes them mechanically simple but those two things are not mutually exclusive.

If you really detest stat checkers, that's totally fine. I think most people can deduct that trundles design is actually retarded. However, don't mislabel something because you don't like it. Back to our previous example: Vayne is not a stat checker. She's anti-melee, polarizing and annoying. But she's not a stat checker and her design is fine. Just because you either suck and can't deal with her short range or you simply hate her kit by virtue of its existence isn't sufficient enough to qualify her as a stat checker.

I thank you for this time and anybody who disagrees will be subjugated by yours truly.