It seems that we talk about the 350w alternator, but we just guess as to how much power is left over since nobody has posted the bike current draw to my knowledge.
I disconnected the WRR charging system and computed the following draws:
Just the draw of the cooling fan: 1.8A
Just the draw of the bike (fuel injection, fuel pump, tail light) without cooling fan on and with the headlight disconnected and battery fully charged: 3.35A
Draw of the low beam headlight: 4.2A
So basically the bike is going to draw a little less than 10 amps running in any normal configuration (unless the battery is very low and needs a lot of charging).
If you don't do electric math, then the alternator puts out about 25-26 amps MAX (you can't run it constantly at max) and you are using 10 so at the most you have 15-16 amps left over. Normal running with the battery charged, the WRR uses way less than half the capacity of the alternator.