Champions should have different attack rhythms

I was wondering why ad champs attack at a constant rhythm. I think it would be an interesting dynamic to add into the game if they could attack at different rhythms which would add up to the same speed. For ranged AD this could be like a 'reloading time' with each champ having a different number of shots before they need to reload. For melee, this could be synced to the rhythms of their animations and fighting styles so each champ attacks differently based on how they swing their weapon of choice. Curious what you think about this idea.