The main problem is the inability of the system to represent local minorities, and the acceptance of gerrymandered safe seats as a band-aid. This might be somewhat better with non-partisan redistricting, e.g. following a transparent,pre-accepted mathematical rule. But that’s too difficult, and there would be a never-ending debate over changes to the rule, with barely disguised partisan motives behind the arguments for a certain mathematical or statistical method.
A better solution would be to turn each state into a multi-seat consituency. That system could even incorporate a distribution of seats between states after actual votes delivered. It wouldn’t surpise me if you’ve run a simulation of that sometime.

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