An obvious problem is that the linear score doesn't represent the value I feel I get from the attribute.
For instance, I live in a 2000 sq ft. space, I will have to store things if I move into a 1500 sq ft. space, and have to sell them or throw them out if I move to a 500 sq ft. space.
A 3000 sq ft space would feel spacious to me but I would not get 10x the utility if I had a 30,000 sq ft space because I don't have enough stuff to fill it.