Not really true. I think increasing the number of reps would make congress ever so slightly more responsive. But it is not a fix for gerrymandering...small districts can be gerrymandered even more easily and less conspicuously.
However, in terms of power, it would actually diminish republican power...at the very least at the electoral college. Small states with one rep get 3 electoral college votes (1 rep, 2 Senate). This small state advantage currently heavily favors Republicans. Increasing the # of reps would reduce this advantage in Presidential contests...which of course also affects the judicial branch.
Source: Growth in U.S. Population Calls for Larger House of Representatives by Margo Anderson.
Bottom line, if we follow the 'cube-root' model, we would now have 588 Representatives based on the 2000 census, instead of the current number of 435 dating from 1910. Sounds about right to me...
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