EA is an interesting theory. It seems that it would be consistent with the movements of the sun we observe every day. However, I have a few thoughts/queries about it.

1) As mentioned in the wiki once the sun has 'set' due to EA, the sun would not be visible due to all of the light from the sun curving upwards before it reaches the earth. In this case it should be possible, after the sun has set, to travel up in some sort of aircraft and see the sun BELOW the horizon. i.e. appear to be between the observer and the earth
Has there been any observation of this?

2) My understanding is that usually when light bends it is due to it moving and experiencing a change in density. When light moves into a medium that is more dense, it curves towards the normal, where the normal is the line perpendicular to the boundary of the two mediums. This is easily observable and verifiable with a concave and convex lense. The lense is more dense than air and the light curves towards the normal in both cases. The path of light in the EA model as it travels from the sun bends away from the normal.
This could be caused by either the space between the sun and earth becoming LESS dense as light travels towards the earth (seems to be against observation of air being thinner at altitude) or the cause of the bending of light being something other than density.

With this taken into account I would suggest globe earth theory a more likely explanation of the rising and setting of the sun than EA theory, until more observations/experiments can be made that are consistent with EA theory.