There is main difference here. If you use mean=0.5 and std=0.5, your output value will be between [-1, 1] based on the normalization formula : (x - mean) / std which also called z-score. This score can be out of [-1, 1] when used mean and std of dataset, for instance ImageNet.
The definition says that we need to use population mean and std but it is usually unavailable, sample mean/std can be used as an estimation.