You're right on the first quote. I accidentally quoted somebody who replied to you. OOPS! =P
I understand what you're saying, and what I'm saying is largely in response to your quote:
"But even with extra CC there's just no reason to pick her over Lulu. Sure she has better damage, but that damage is worthless because you lack a way to survive long enough to use it."
My entire argument is that the damage is not useless, especially not when it's a difference of 10-15k per game. Having a midlaner who can deal literally double the damage of an enemy mid is really, really significant.
You're right that Zyra is slow and squishy, obviously, but even still she is a top-five damage mid and a top-three damage support. When she does survive, her damage is just ridiculous.
Stats are fine, but in practice I notice it, especially with the juggernaut meta. My average damage with Zyra in my last 10 games (7 support and 3 mid) was 38k per game, over 50k one game, and over 60k in one game. Consistently I see my Zyra at the top of the damage for the game, sometimes 50-100% higher than the second highest. That's a huge deal.
Bursting squishies is all well and good, but when you're seeing some mix of
in almost every game, suddenly Zyra has a really compelling place in the meta.