The big hole on the outlet is connected to the big blade on the plug. Is
that what you are asking? (But since that seems pretty obvious, I wonder if
you mean something else...)

It would still work if you got it backwards; it might be more dangerous in
event of a short and/or leave something exposed hot that is supposed to be
grounded.

Like the other respondents, I haven't seen a lamp like you refer to. It
sounds flaky, even if GE makes it.