Yabbbut, although that will fix the fast-flash issue, it has nothing to do with his problem - the other side lighting dimly when one side is flashing. I started to mention installing one of those after seeing the fast-flash on the video, but figured why confuse things further...
I agree TOTALLY on using a 'no load' relay (also called 'towing' or 'electronic' - common @ every parts stores is the Tridon EL13) vs. wiring in those damn 'load' resistors (high-wattage, in parallel). They're a crude solution to the fast-flashing caused by swapping to low-current LEDs, more expensive, not avail. at any parts-store, etc. - don't like 'em.- only advantage is you generally don't have to remove the upper fairing to install (big deal).
But again - that's unrelated to the problem. What he most likely needs is just a pair of these
http://www.radioshack.com/product/in...ductId=2062295 (or of a resistance around there) wired in-line (series) on each rear signal wire.
PS: Many 'engineers' do truly suck at the practical application of, well... anything practical (worked with/for several of them)!
But the good ones sweat the details to the Nth-degree, consider how technical theory actually works in the real world, and seek what works best (and many of that sort don't have a formal degree). They're generally the ones who figured out & designed/refined the bikes, the LEDs, the flashers, the computer you're reading this on, etc, etc.....