Any reasons for Lee ult to have almost no cd?

Because then he might not be strong and Riot doesn't allow that for him.

Point and click abilities take skill.

It'a a trade-off for its high Mana cost. Kappachino.

He wouldn't be able to make so many plays

Because the only reason his R doesn't suck dick is it's low CD + huge ass scaling. Without those, it's a buffed Jayce knockback.

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^

?

90/75/60 What's a high cooldown in your opinion? This seems fairly normal for bruiser ultimates.