Probably it will affect design of monoaural monitors. That is, right ear looks like the ear for which speech monitors (mono) should be designed for primarily.
But for stereo, I don't think there's necessarily a reason to do anything. That is, if one wants natural reproduction of sound.
After all, the natural acoustic environment doesn't in any way filter the sounds differently to the right or the left ear. In this regard both ears are on level and equal.
That is also the way our hearing is taught (the way it learns). Now, altering this natural balance by having different feed coming to left and right ear would probably sound unnatural, because it differs from natural stimuli.
However, as so often in sensory studies, nothing is for sure. It could just as well be that something comes out of this for stereo headphones as well. I'm guessing somebody will try to make hyper-realisting music/speec reproduction headphones, which while not being natural will provide enhanced accuracy of tonal and speech perception. Something for the accuracy freaks in all of us
Thanks for the interesting article link, btw!