It wouldn't.
The energy cost to power the radio frequency generator would be multiple times the energy potential of the hydrogen generated by the process. What is described here is only an interesting tabletop experiment. It has no commercial potential whatsoever.
and you can prove this how?
Work arounds are turning off the water supply before the ignition is turned off to purge the system. Another is a chamber before the injectors that re mixes the emulsion before starting. There are many more, but you get the idea. The point is you can burn a 50/50 mixture of water/gas if you do it this way. It has already been done years ago, so it works for sure. In carburetors, they had the problem of separation in the bowl, so no joy there. FI made this all go away. The power it takes to make the ultrasonic mixer is just a few watts so an alternator works fine for that. Water is heavier than gas, so there may be some extra weight on a small car. If you have a 12 gallon tank now, I'm not sure if you would want a 6 gallon water and a 6 gallon gas tank. Most would probably opt for an extra water tank and keep the gas.