adc with global ults would use some normalization among the cooldowns
atm ez and jinx have spammable ults, ezreals is a lot of utility based for him cause it gives him hiss passive while jinx's ult deals the biggest damage and is easiest to hit
while ashe has insanely slow and hard to hit ult with insane cooldowns, and draven has hard to hit ult (the thinnest out of all with medicore speed) wit heven bigger cooldown
i wouldnt mind it if the diference would be 20 seconds or something but ez has 80 sec cd reseted wit hhis q's so lets say that it waries from 65 to 45 seconds while jinx has 60 secodns cd on lvl 3 for instance draven has 90 seconds cd on his ult at lvl3 and ashe has 80 sec
all of those champs have good kits on their own without their ults (its global so they suited it for global use ) but draven and ashe despite not having some insane ults have a lot longer cooldowns ,ashe's ult hits only when you have luck, its so slow that its actualy possible to step away from it when you see it on screen, other ults will just ramm you, while dravens ult requires quite insane aiming to pull off good dmg not to mention that minions and jungle monsters reduce it