This bullshit that ancient peoples of the Middle East and Egypt could not possibly have had blue eyes needs to end:
https://www.livescience.com/63396-ancient-israel-immigration-turkey-iran.html
Everyone knows that Middle Eastern ancient DNA samples
yielded probable results of blue-eye gene variants, but that's it. Not even in modern Scandinavia there is any entirely blue-eyed society, and certainly it's nothing but wishful thinking to think that "ancient peoples of the Middle East and Egypt had blue eyes". Even the
very surprising Chalcolithic Israel population had 49% of blue-eyed samples. In other words, slightly more than half of them
did not have blue eyes. That CA Israel population was
heavily Anatolia_Neolithic and very unlike the BA Levantines, though it apparently contributed significantly to at least the Northern (Sidon) Levant population, but not to the Southern Levant population, a fact that, according to the authors of that study themselves, may also suggest that
not all Chalcolithic Levantine communities was like that of the CA Israeli site, and there was strong genetic structure in that region.
A blue-eyed majority is even less likely in a place like Egypt, which going by the LBA and IA samples that have already been analyzed, were mostly Levant_Neolithic, Iranian_Neolithic and probably also a fair bit of indigenous North African (IMHO easily mistaken for Levant_Neolithic until we have more ancient DNA samples from Mesolithic and Neolithic North Africa) as well as a non-negligible amount of Subsaharan African ancestry - with much less ANF ancestry (which I think was associated with the spread of blue eyes - it certainly did not come with Indo-Europans, it predates their expansion). Actually some of the carefully cherry-picked Egyptian statues you've posted do not even look like they had blue-pained eyes, but maybe you see things differently from my own eyes.
To sum it up: did blue-eyed people exist in the CA and BA Middle East and North Africa? Definitely, they do exist even now. Were they a majority in most places? Almost certainly not.