Would there be value in distinguishing -0 and +0? If a 0 was quantized from a small negative or a small positive, it seems like retaining the sign is better tha

Would there be value in distinguishing -0 and +0? If a 0 was quantized from a small negative or a small positive, it seems like retaining the sign is better than forgetting it. The question remains whether the benefit and the simpler design are worth the loss of density.