I wish I had more for you... the only thing I can think of perhaps a wire got pinched or something? Hope you can sort it, these kinds of issues suck. Best of luck, man.
On the wife's 6r we went +1 on the front and left the rear stock. Made it a little less buzzy and made the speedo more actuate. I'm guessing you could change the rear if you wanted to.
Knute
This was the same on the wife's 6r, lights but no fire. New battery and it fired right up. Not saying this is your issue but have the battery load tested to know for sure.
Double check the battery to be good. Wife's 6r behaved like that once, we put in a new battery, and it fired right up. Best wishes hope you can resolve the issue.
John
Somewhat the same happened to the wife's 6R. One day it decided it would just crank and crank but not fire, replaced with a new battery and it fired right up, been running great ever since. Not saying this is your issue, just something to consider.
I did a quick look at Partzilla. A 2009 FZ6R part number is different than that of a 2009 FZ6. As far as actual fitment goes, I don't know if that would mean anything or not.