If Vayne's Empowered Q Can Crit, Can Draven's Empowered Q Crit Too?

So, everybody seems to know just how much damage Vayne does now that her empowered Q crits. She is basically an assassin now and can instagib squishies before they have a chance. Everyone seems to hate Vayne for this because she is really supposed to be a tank killer, not a squishy killer (and ya know, invisibility).

Well, we have seen the burst of Vayne, but how about an ADC that it seems many people have forgotten: Draven. His whole identity is a squishy killer and he used to go so well with the old armor penetration items. With the preseason changes, he doesn't synergize so well with them anymore, so maybe a crit based build would be best. That is when I thought, "Hey, Vayne gets the Q crit, why not Draven?"

Compared to Vayne, Draven is rather immobile. He has his W and his E, but it is no Tumble. It is no invisibility. He has to catch his axes and that slows down his DPS. He has no CC and really can't just come from out of nowhere to completely outduel anyone (cough Vayne cough).

Now, why would we make this change? Well for starters, it would turn him into the late game squishy killer fits his core identity. His average winrate is about 50% now, but I feel like this change would skyrocket his winrate. This means that he would need some serious nerfs to get him to around 50% winrate again. "So why would you change this at all?" I hear you asking. Well, this change would shift his power from the early game (and discourage him from building armor pen) to the late game when he can get those massive crits.

Also, it has always kinda bothered me that his Q doesn't crit. It is basically his auto attack and a BIG FRIKKIN AXE! WHY THE HELL DOES THIS THING NOT CRIT!

EDIT: The base AA on Draven's Q does crit, but the extra damage from the Q does not crit as said on the wiki. In a recent change, the bonus damage from Vayne's Q also has its own crit modifier. I want the bonus damage on Draven's Q to be like the bonus damage on Vayne's Q.