Counterplay and toxic are buzzwords that Riot loves to use a lot to explain away any changes they make to champions. Toxicity isn't always OP, it tends to refer to a playstyle or lane dynamic created by the champion that runs strongly counter to normal gameplay in an unhealthy way. Also, toxicity is rather rare these days despite what people say. You can see a bit here and there but nothing even remotely close to what true toxicity looks like.
Good examples would be the old Proxy Singed strategy of farming minions inside the enemy nexus using the fact that after a number of deaths you became worthless to kill so engaging you created a lose-lose scenario in which whether they engaged you or not your team and minions were rapidly pushing down towers and advancing on their base.
Old,OLD heimerdinger had super long range rockets on a 20 second coodown that would hit every enemy champion within a wide radius (think poke wars now but there was a guy who could effectively nid spear your entire team without missing every 15ish seconds).
Evelynn could go fully invisible and her first attack on someone when she came out of stealth would stun that person for like 2 seconds.
Shaco... OH lord, Shaco. He could start a game with deceive and a red elixir and a page full of crit damage % and 2 shot someone for 1st blood every game because he was getting normal 200% crits with it right out the gate (i think 2-shiv poison had a blind maybe too?).
Exhaust and cleanse made flash look like a joke even though it was like 50% longer range back then. Exhaust blinded the target and cleanse at one point gave 1-2 seconds of CC immunity I believe.
And Xin Zhao was the stuff of legends on his release.... I mean I can't even describe that horror. It was almost as if your only way to win a game against a Xin Zhao player that was half-decent was to have one on your team too.
Now, I'm not dismissing that there are obnoxious or unfun champions to play against. Those certainly exist and most definitely need looked at for those very reasons. I'm simply stating that as time has gone on the community (and even Riot sometimes) has gotten into the habit of throwing such words around without having a proper basis of what truly lacking counterplay or being toxic looks like.
Edit: Almost forgot about Jax dodging tower shots.