I am amazed how a post like this isn't -999, whenever I post some random hate-on-champ post it immediately gets trashed.
A part from that this post is just non sense to be honest, you could say mostly the same thing for champions like Shaco, Twitch and even champions like rek'sai, zac and camille that can enter combat from locations that are unlikely to be warded.
I've got about 800 Evelynn games and I managed to get to Plat 4 with her. You can say she is easy, but she is not. She's easy to learn but extremely hard to master, because mastering Evelynn is mostly about knowing your opponent. She actually is pretty easy to counter by just picking the right champions and control warding the right spots.
First of all if you think putting a control ward in bushes/river and places she might come from, you're forgetting that she can just come in from another angle.
So you should ward close to where you are farming, so you can see her when she's about to engage.
Top lane is her easiest lane to gank so golden rule DO NOT PUSH TOP LANE.
Bot lane is most rewarding, but can be hard depending on who has been picked. Suggestions Alistar, Morgana, Janna, Karma (Never pick Zyra, Lux, Brand or any other squishy no escape AP mage)
Mid lane is a tough gank if no one pushes lane it's nearly impossible to just run in and gank, however I play smite/ignite on her which makes it a bit easier but still I try avoiding mid unless some kind of reckless Yasuo is pushing my ally 24/7.
Champions that completely cripple Eve when she has a basic AP/Glasscanon or AP/Tank build:
Volibear, Vi, Shyvana, Riven, Darius, Irelia, Morgana, Akali
Skill matchup/depends on being fed:
Lee Sin, Kha Zhix, Elise, Shaco, Rek'sai, but I think I can go on for a long time.
Don't feed Eve she's a hypercarry for the first 20 minutes after that you can itemize pretty well versus her.
Also you can say she is a roflstomper in lower elo, but there are so many champions that destroy lower elo and are completely useless in higher elo or 5v5 team games. Heimerdinger comes to mind, but also Singed and Dr Mundo.
She's not that hard to counter.