The back wall reflection of E-stats is very important. For one it comprises probably 35% of the total sound that you hear (in the panel frequency range). Secondly, the back wall reflection is short in terms of timing. You can calculate this by taking the distance (ft) from the panel to the back wall and dividing it by 1130 ft/sec. So let's say you have 6 feet from the back wall. The reflection will arrive at the listener approximately 20 milliseconds after the first wave. Since this is less than 35 milliseconds your ear/brain integrates this up as part of the original signal and it's probably 50% or so lower in db from the original signal. This ads to the ambiance and spaciousness. If you eliminate this reflection you will probably not have enough high and mid frequency energy and the speakers will likely sound rather dull and the sound stage will collapse, but if you have 2 extra mattresses in the house and some down and wool blankets--there's a pretty easy experiment you could try.
So you probably wonder why did the speakers sound bad when they were close to the back wall. The panels are curved and when they are two close they may have focused at near a point on the back wall, creating a very strong point of reflection that might have had near the energy of the first wave that reached you. This would do two things: throw the speakers out of balance with too much high frequency energy, and 2 while the reverberation time is okay, the second point source with nearly as much energy would not be okay. It would mean rather than your ear perceiving ambiance, it would hear notes that were not clearly defined because of two signals near the same strength.
So you probably wonder why did the speakers sound bad when they were close to the back wall. The panels are curved and when they are two close they may have focused at near a point on the back wall, creating a very strong point of reflection that might have had near the energy of the first wave that reached you. This would do two things: throw the speakers out of balance with too much high frequency energy, and 2 while the reverberation time is okay, the second point source with nearly as much energy would not be okay. It would mean rather than your ear perceiving ambiance, it would hear notes that were not clearly defined because of two signals near the same strength.