Back on topic, I don't see why they couldn't use the timer that turns off the heat to also switch windings on the fan motor to high speed. Then cooling would be more effective. I could do that and I'm no engineer.
The electronics are pretty accessible and not completely wrapped up into a chip, so modding the roaster on your own is always an option. The manufacturer will be limited from much updating mostly because almost any update would require redoing lengthy and expensive certifications, often stricter now than ones the product originally was tested against.
As to your fix, the fan already speeds up on cooling, but it doesn't address the basic problem; all the extra thermal mass of the hot glass container and roaster internals. Adding even more fan isn't going to have a big impact on that. Even if you could get the whole thing cold in a few minutes, it would be quite hard on the roaster itself, quickly over tempering some parts as well as exposure to more pronounced differences in thermal contraction/expansion at the seams and along the glass container. To fix this issue you simply need to get the beans out of the roaster.
Here is a link to a short tech overview of the gene:
http://coffeetime.wikidot.com/inside-a-gene-cafe
