There are the misinterpretations of the relevant biblical record.
There is no misinterpretation of the biblical record of an event whereby the sun "stood still" for a whole day - and another event whereby the sun "went backwards" ten degrees on a particular sundial on a particular day in history.
As far as I am concerned, any Earth 'model' that does not allow for the sun to "stand still" and "back up" as described in the biblical record of these two events should be rejected -
as it cannot possibly be true/valid.
This one biblical truth alone may be used to "shoot down" any Earth 'model' that does not corroborate the biblical account of these two events.
The Bible says these events actually happened.
If you are going to believe the Bible, then you must reject any Earth 'model' that does not allow for these events to have occurred exactly as the Bible describes them.
It really is that simple.