PLACE is compatible with primaries; primaries would still be used in the US.
Thus, PLACE has all the same (weak) incentives for the local winner to represent any nonpartisan interests of the local district, along with strong incentives to represent the interests of their party X district combo. The extra (weaker) incentives for those other winners who have the district in their territory to represent the interests of their different party X district combos, to fill out the matrix, make PLACE’s representation strictly better.
PLACE is compatible with primaries; primaries would still be used in the US.
Thus, PLACE has all the same (weak) incentives for the local winner to represent any nonpartisan interests of the local district, along with strong incentives to represent the interests of their party X district combo. The extra (weaker) incentives for those other winners who have the district in their territory to represent the interests of their different party X district combos, to fill out the matrix, make PLACE’s representation strictly better.