Ummm, no. If that's how you think flat earth works, you don't understand the concept. You are living with a giant lens of an atmosphere overhead. That means perspective is king in these cases because the lensing effects have to be accounted for. When ignored, like in your example, it misrepresents the model completely and results in faulty conclusions.
If you are ever willing to see exactly why your example falls way short, here is an explanation of what actually appears to be going on. Flat earth has no issues with star rotations, at all. And if you are willing, I'll gladly give you kudos for your intellectual honesty, agreement or not.