Look at it a different way, the wire from the pole outside your house going to to your meter most likely is 4 gauge, aluminum wire. It then goes to your panel where it changes to 10 ga. copper (in your situation) to your power conditioner. Are you thinking it should be 4 ga, to the plug in outputs of your power conditioner? Or just 10ga. from the panel to the all the way to the outlets of your power conditioner. Unless you have 4 ga. power cords on each of your components the circle will be broken.
Like I said before, unless you have current draining, high power amps you won't notice any audible difference and there will be no electrical danger.