I just want to add that, yes, 1/2048 is a big difference and much higher chance than 1/8192, but:
The original chance of getting a shiny is 1/8192, or a 0.000122070312% chance.
A 1/2048 is still a very low chance. It's a 0.00048828125% chance of getting a shiny, and than there's the annoying part of hatching the eggs.
I'm not sure if this method can really be put to use, but if you believe this is faster than just a two second encounter, good luck!