I agree with most of this, but "Local control" of housing of this sort is generally a conservative phenomenon. However, the bigger effect isn't typical left-right politics but instead the class-divide of homeowners versus renters.

Self-identified liberals are more receptive to nearby apartments than self-identified conservatives.

But the bigger effect is homeowners versus those in apartments. People in apartments are far more supportive of new apartments, and homeowners are less supportive, and this effect is bigger than the political divide.