I am not "reading" anything into what you are saying. I'm actually talking about claims Flat Earthers make.
The map does matter in the ultimate as that is tied closely with how they explain the motions of the sun and the moon.
Currently they use the map I was talking about to explain that.
If you dig into it enough trying to explain observable phenomena then eventually the flat earth hypothesis has to become more and more complicated than the heliocentric one to explain some of the basic details we have on earth.
There can be the danger of going "I think we ought to be a bit skeptical of maps", which skepticism can be healthy and I agree with you. Yet we must still also use reason.
If the map in question does not work, then the model for the explanation for the motion of the sun/moon with respect to that map also does not work. You need an accurate map before you can also determine the accuracy of the moon/sun.
It quickly becomes very convoluted.