My G900 (mouse) supports 1000Hz wirelessly; whether it really hits that I do not know for sure, but wired USB should easily be capable above 1000Hz as you mention.
I do know that I had to tweak MS Office apps in the Logitech G software because dragging an Excel window recalculates rows on window drag and the refresh rate of my mouse was so high that it caused noticeable lag, I'm confident it's easily hitting at most a few ms over wireless usb.