Hi Ashwin,
Both of these are z-score profiles, which means they indicate the number of standard deviations from the mean of expression of the same gene in a reference population. These profiles differ in their definition of the reference population: all tumor samples in the study vs only those tumor samples that are diploid (no copy-number change) for the gene in question. We recommend using the z-scores relative to all samples.
Note that your results will change slightly depending on which profile you use, but the ranking of samples by expression will remain the same.