One of the things in Adam and the Genome that I try to underscore is that the precise numbers are probably going to shift around as new technologies are brought to bear on these questions. It’s for this reason that I say things like “about 95%” and so on. I did the same for the ancestral effective population numbers (Ne). But changes in the precise numbers are not likely to invalidate the general consensus - we evolved, and we did so as a population.
No one is more interested in the “% genome identity” thing than folks trying to cast doubt on common ancestry. It’s just not a precise value that scientists are interested in, because it doesn’t answer interesting scientific questions in the way other values do (as you’ve pointed out).