We absolutely do not use the genie to minimize apps (nor is such functionality even available in the program we use for our dock, Plank), and in fact we came up with our full screen button months before Apple made that design change public. For proof (or at least evidence coupled with my personal assurance) of the latter claim, see this mockup[1] which was submitted July 10, 2010. That's 1 year and 10 days before OS X Lion (the first release to feature similar maximize buttons) was released -- even before the betas.

Also, it should be noted: that window control control does not behave the way OS X's similar one does. Fills the screen but does not take the application full screen.

[1]: http://danrabbit.deviantart.com/art/Postler-170793979