we dont like tanks wo can do damage damage

cho gath can't do anything until he gets to you and his abilities take time to actually land

Go to the shop, pick "tanks", Cho'gath appears. Cho-gath is a tank.

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CC is not damage. Cho'gath has plenty of damage, but only if he builds AP and Magic Pen. Which results in him being closer to a mage when he builds AP items and closer to a tank when he builds defensive items. But you can also build him on--hit with Devourer + Guinsoo's + Wit's End.

Darius, Illaoi, and Riven are far more egregious examples.

He has a shit ton damage even if he doesn't build any AP and has the highest base health in game. He is crazy OP.

Tank Ekko was nerfed because the build covered his weakness of being squishy. Cho'Gath is not designed with that weakness. They're not equivalent

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he is a tank mage... same exact case, they nerfed Ekko because he could do it

Ekko also has insane mobility. Cho'gath is designed to be a tank, and therefore has a tank-specific kit. Ekko is an assassin mage, and therefore should never have been able to build tanky.

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Then why are champion with mobility allowed to have damage? They have safety, they shouldn't hurt since they have ways to output free damage then escape with theyr mobility. [...] to balance that out: if cho kills you most of the times you made so many mistakes that you have only yourself to blame, not the champ.

Immobile champions that deal damage and aren't tanky are almost always mages with a lot of range (Xerath), or the occasional ADC with a lot of range (Caitlyn.) Mobile champions with damage are assassins. And they should exist, but they should have windows of weakness in which to be killed. I agree with you that Cho'gath is not a bad champion. His ult deals a lot of base damage, but it drops off late game. His Q is also powerful, but it has a long cooldown.

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Cho is short range tanky mage. He has 0 mobility and he has to put himself very close to do damage. His kit requires him to be somewhat tanky, otherwise he would be destroyed. He is diverse champion. If u build him full AP ,sure he will have HP and huge damage, but if he misses his Q, he is dead. Anything with % hp damage or BOTRK or Liandrys will beast him. If he would got for standard top lane build: he will be tanky as hell but he wont do that much damage.

Quick note: replace Frozen heart with Frozen Mallet or Iceborn Gauntlet and Sunfire with Liandry's and that's an ideal build for me. (With the slot occupied by Thornmail being a toss-up situational item, but with the new Iceborn, the high-armor is ideal.)

That build gives him a little more offensive power, and a lot more usefulness as the slows on Iceborn/Mallet and Rylai's can be brutal. But he does lose some survivability, so maintaining 6 stacks becomes essential.