A pro player did it, that means it's a flawless piece of logic and thought process, right?
This isn't an appeal to authority, right?
Ravix, I only have a request. Don't be so condescending. Also, if at all possible, if you think the math is being used out of context, please describe how. Hinting at it being wrong for vague reasons doesn't help you out in any way.
Not so much an appeal as much as a piece of evidence to back-up my claim, I'll support it further.
I'll take that condescending part and work on it, it's something I struggle with in my writing.
As for explaining it further, I'll go ahead and explain myself more properly so that you can understand it as I do.
At first you might think that Draven is built around catching his spinning axes and using them to deal extra damage, while that is partially true it isn't in the way that you are thinking.
Since catching his spinning axe resets the cooldown on his steroid "Blood rush" the focus shifts from maxing Q to maxing W (And then E at higher level play, Q is fine for lowish elo). The reason for this? The movespeed and attack speed offer more to you in the realm of trades and following up on kills/damage. If you were relying solely on Q to get your damage early on you would have to micro-manage catching 2 spinning blades, not only is this hard to do but it falls off towards the mid game as well. Compounding on the fact that it is already hard to catch your spinning blades, relying on them for your damage is quite harmful. As if you should miss any of them you quickly lose your advantage.
Alternatively, maxing W allows you to constantly move faster than your opponents as well as hit faster with your auto-attacks. It allows you to chase down kills as well as escape due to your greater speed. In team fights, that extra movespeed and attack speed make the difference in positioning and in overall damage output. Movement speed is something I often see highly underestimated and I urge you to think outside of the box when determining a skills usefulness or not.
The goal with playing Draven is to use your Q to reset your W cooldown every 2 seconds, keeping your Blood Rush active and moving thus giving you the advantage in team fights vs. other carries who don't have access to such a constant boost in damage. His E further acts as disruption against the enemy team and can be used in combination with his W to kite away enemy champions. Catching your axes is the most important part of playing draven and is what makes maxing W so much more safe and efficient than maxing Q.
If Draven were to focus just on his spinning blades then he wouldn't be a very good AD champion, he would be far too reliant on a variable that can be manipulated by outside events (Other than player skill). But by focusing on using it to reset your cooldowns you enable yourself to obtain a constant steroid that will allow you to ultimately put out more damage and thus be a better carry.
"I like to play aggressively on Draven because of his Blood Rush. It will allow you to get extra hits in on the enemy
AD carry or
support, and it allows you to get out with the speed boost if you need to. You can pop your Blood Rush and hit them with a Spinning Axe, catch the Axe, reset your cooldown on Blood Rush, and do more damage."
-Cop
"Nope, maxing W is how you get all your damage early game, how you secure kills, and how you escape dodgy situations. It lets you build nothing but AD early game, allowing for pretty massive leads."
-Ataraxla
If I wasn't specific on something that you are wondering about, feel free to ask about it and I'll try my best to explain it.