I've dabbled in cockpit cooling with some of the ice based products and here's the conclusion I've come to on the subject.
The only time you really need A/C is in the period between getting into the aircraft and takeoff and maybe the period between touchdown and taxing to the ramp. Admittedly, that's longer for some of us than others but my general feeling is that most of the ice solutions have been more effort than they're worth(nm the price). You end up taking longer getting the ice into the freezer the night before, loading it up, connecting the wires, etc than you have to endure the heat. Then you've also got this thing taking up a bunch of space in the cabin... and with the ice based ones now you have to dump it and clean it out after the flight. It's just not worth it on all but the most unbearable days.
Now this product solves the ice problem which is big and since all you really need is a cool breeze across your neck so you're not sitting in a puddle of your own sweat it might just be a workable solution... but you still have this expensive rig you have to lug into the plane and plug in. Sure not a big deal but we already have so many other things to remember on any given flight one more thing just seems that much more burdensome.
I might be temped to try one but I've come up with a much cheaper, simpler, and better system. I wear Hawaiian style shirts, which aside from being incredibly stylish are cool and if you do sweat wick it away and dry quickly. There may be other options but the ubiquitous cotton t-shirt is terrible in the summer IMO... you want a light material and obviously wear shorts. A summer dress is also good I'm told if you're a girl or just like to feel pretty. Hold the door open until ready for takeoff for extra ventilation and just deal for the few minutes until you're off the ground. At that point, you shouldn't need AC anyway.