Hmm... here's my opinion on this:
Fizzy water contains bubbles containing co2. When sprayed on, the bubbles burst and co2 evaporates into the air. Now airborne, co2 can be used by the plant.
In conclusion, it does work, but it's no better than simply making a co2 generator. Plus, I'd be worried if the water has a too low pH... it could burn the leaves just like it burns your tongue...