To your point, you're discounting the idea that someone in a district that has been gerrymandered and hence their vote won't matter on the local and state legislative level will show up in the same proportion for national and statewide elections just because those can't be rigged. I'm not sure why you believe that is a valid assumption since it forces complete rationality on voters and discounts apathy and capitulation.
Your answer, though, does make sense.
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