If you measure an angle of 45 degrees to the polestar then that tells you you are at 45 north on FE or RE .
Can you explain how that works on a FE?
To elaborate. On a FE the distances between each degree of latitude would change because, geometry:

That assumes light goes in straight lines of course and I know you have EA which comes to the rescue but it's funny how EA bends light just enough, if that is your explanation, to make it consistent with the observations we'd expect on a globe with Polaris a long long way away above the North Pole