If this is predicted in the RE model does not at all reduce this as FE evidence. It looks flat therefore it's flat.
If two models predict the same thing and you're trying to distinguish between the models then it means that thing is not evidence for (or against) either model. It simply means that in itself it is not sufficient evidence to discriminate between the models.
Point taken about being able to "tell" rather than "feel" you are moving. But you can tell we are moving, we observe the sun moving across the sky, we can observe the way the stars rotate around a northern point in the northern hemisphere and a southern one in the southern.
Now, you could claim that observation shows the sun and stars are moving, not us. But back to your example of cruise control. If you imagine a perfectly smooth and flat road, no engine noise and closed windows so you can't feel the air moving - how can you tell it's you moving and not the things around you. Obviously common sense tells you it is, but in terms of what you'd observe it would be exactly the same if it was the landscape moving around you. That's why sometimes if you're on a train you see a train on a neighbouring platform start to move you can't always tell if it's you moving or the neighbouring train. So this is similar to the observation of a flat horizon - you'd see the sun moving across the sky if it was going around us or if we were living on a rotating ball. This observation enough is not sufficient to distinguish between these two possibilities.
For a long time we did think it was the sun and stars that were moving. We literally did think the world (or universe) revolved around us.
I guess it does fit with a Biblical worldview, coming back to the thread topic - God created the universe and created us to have a special place in it, so why wouldn't we be at the centre of everything? It was only when we started making more detailed observations and noticed retrograde motion that we realised another model fitted better with observations. Now of course we have the technology to observe the globe earth.
Science has relegated us from the centre of the universe to an insignificant speck. My take on that with my Christian hat on is that our significance doesn't come from
where we are, but
who we are - beings made in the image of God, made separately from the rest of creation to have relationship with Him. Where we are isn't important.