I accept the former, but your second paragraph is wrong. I do not have to accept that things appearing East can be somewhere other than East. That's not logical. How can the sun appear to be East when it isn't?
Well its very logical. Either you see round corners, or light travels in straight lines. East isn't a straight line on a flat earth. So it stands to reason if I look East (the way my compass is pointing), anything a very long way away won't actually be East of me. It must be some place else. It just appears to be East. Things that are genuinely East of me, must often appear to be some place else too, but that doesn't really apply to an equinox.
In the image above, I could be way up North in Canada, or I could be on the equator in Africa, and in both cases, the sun appears to be east. But the sun isn't actually East of either. I should point out, this isn't unique to flat earth. The same is true of a globe. If you just went straight on a globe, in the direction of East, you be off out into space. You correct with the curve of East.
The false dichotomy here, is that round earthers claim on a globe that the sun rises in the East. It doesn't. It appears to rise in the East. If you followed East on a globe, you'd never get to the sun. You'd go around the earth. And as you moved towards the sun, it would appear more south east as you approached in the northern hemisphere, then South and eventually it would be behind you in the West. Even on a globe, the sun appears to rise in the East, even though it isn't East of you. And I just showed that's the same for flat earth. Canada or Africa, the sun can appear to rise in the East to both at once, even though it isn't East of either.