OK, so this is based on my understanding but I have no experience with running "load balancers" but here goes:
If you were to wire this resister inline with your lights, you're raising the resistance of the LED circuit which will lower their brightness and power consumption, this is not what you want to accomplish.
You need to add MORE power consumption to keep your flasher happy.
It's my understand that what you want to do is to connect the resistor across the turn signal's lead, so that when power is flowing to the LED's additional current is also flowing through the resistor to ground. The resistor turns the excess current into heat, which is why the listing says the resistor will get hot.
So, like this:
+ ------------+-------------
FROM BIKE [RESISTOR] [SIGNAL]
- ------------+-------------
This, the resistor gives you two leads on each side to provide the "T" connection you need. Unplug the leads from the signal, plug the resistor in it's place using one pair of YEL/BLK wires, then take the signal leads and plug them into the OTHER pair of YEL/BLK wires, and you should be good to go.
Someone jump in if I'm off-base here.
mystic_1