I just got a reply to my email inquiring about if they have pharoahs in their breeding pen - they are saying their whole breeding pen is Egyptian. If that's true, then it's impossible that they could produce Pharoahs. You can't breed two birds together that have two copies of a recessive gene and get a dominant gene out in the offspring, because the parents literally don't possess the dominant gene to be able to pass it on.
Here's a Punnett square I made to show what I mean:
So, either they do have Pharoah in the breeding pen and aren't telling me, they sent me the wrong eggs a second time, or they don't actually know what an Egyptian is. None of those options is great.