Earlier quoted context omitted.
Who gets to decide which groups "should be ignored". The pig farmers certainly don't agree. The whole point of competitive districts is that the groups who should be ignored will be eliminated by competition. Your whole premise seems to set up all districts with functional lifetime appointments rather than elections.
In competitive districts, politicians are far more dependent on campaign funding. Competitive elections are extremely expensive. So the group that gets ignored is just the group that has the least money to throw at candidates. It's the average person that always loses in that case. That's not fair either. I would certainly prefer term limits, but if a population thinks their representative does a good job representin…
If we're dreaming big here, how about we try fixing campaign funding too? To give a concrete suggestion, the US should pass a constitutional amendment which allows Congress to limit expenditure on political advertising (but not other forms of political speech). Here is one such approach: