Are you flying a different airline as well as using a different passport?? I agree it would be quite difficult to detect and your odds of getting caught are probably low, but I still would not take any chances on stuff like this especially in the middle east
I can share a personal experience from July when I travelled on emirates from DXB-IAH as a non-US citizen and non-green card holder when the US travel bans on europe, china, south africa etc... were still in effect. At the boarding gate, the agent looked through every single page of my passport for entry stamps from any banned country and made me show my reservation proving how I arrived in DXB from my home.