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Which is insane to me. RCDs have been required on all household circuits for decades in Australia. Literally saved my life when I was doing dumb shit as a kid.
Edit: Also, by typical, you mean a typical American household :P
I was thinking British, but my understanding of the technology you mentioned I don't see any clear reasons why it would prevent back feeding?
It didn't. The mains was on, and the plug was in my hand. My dad, in a typical show of his wonderful parenting, told 9-year old me to plug it in while he went outside to the fusebox to turn the main circuit off. The power came back on while I was walking out to the back shed. I still got a pretty big zap, in the eyes of a kid anyway.