Can Zed has an actual energy pool?

Ok I'm not here to bitch about his poke, burst or mobility. But you gotta leave some room for counterplays, except for "hoping he will suicide" and "Don't fight him" This happens to me a lot, when I'm facing a Zed, I wait for him to use up all his spells ( qwe) or when he is** literaly out of enerygy**, and I consider that a small window of time which I can output damage on him, without any risk. But guess what, he ults me back and wow all of a sudden his abilities are off cooldown again, and he somehow gained enough energy out of nowhere to smash** a full combo** on me while I went in at a point which that damned energy pool was** literaly empty**. There is no such thing as a window. That's very dumb, spamming your spells braindeadly is a stupid move which should leave a chance for the enemy to punish, but that's not happening on Zed，there is no punishment, you can be ten times smarter than him yet you can't get any chance off his stupidity,

Fun facts : Zed's Q deals 90% of Talon's W damage without shadow, which means about 140% with shadow. While it has 60% cooldown and 150% range(without shadow)of Talon's W And it costs energy (which can be restored quickly) compare to mana

Look, the whole idea of energy system is that you don't need to worry about sustain through laning phase, but you are not allowed to braindeadly spamming your spells in a very short period. And that doesn't apply to Zed

Solutions： 1.Reduce his energy restore on W 2.Increase his Q cooldown 3.Put an energy cost on his ult