Master Yi - Skill order

Ok, something I was thinking about the other day. I was wondering why most people max out Q on yi first and E second. It seems to me that you deal more damage maxing E and using Q as your gap closer.

Im gonna napkin math this here, so its just a generalization.

Lets say you have 280 ad on yi.

Q at max level deals 165+100% AD = 445 (165+280)

E at max level gives your auto attacks bonus true damage (30 bonus + 20% AD). Assuming 1.0 AS, (30+(280*.20=56))=86 bonus damage each auto attack, ability lasts for 5 sec so 430 bonus true damage on top of your normal AA damage. so in this instance 280*5=1400 physical damage + 430 = 1830 damage.

I am not even factoring in the AS boost from his ult at all (80% more AS) . or Using a Q in addition to your insane AA damage from maxing E. Or his passive.

Am I wrong here? If I am, please explain. Seems like only reason to max Q first is just to lower the CD and thats only 4 seconds.