The test result from Optyczne (a review website from Poland) shows that Sony A6000 has a much weaker AA filter compared to NEX-7. Maybe it doesn't have an AA filter at all.
(it's not in English but google translate is really an amazing tool!)
Also, the AA filter on NEX-7 shows significant astigmatism (which is also reported by several other websites like Photozone) which clearly affects lens sharpness.
According to these reports it is reasonable to think that the E-mount lenses should get better sharpness results on A6000 compared to NEX-7, which is not the case on DXOMARK. On DXOMARK, E-mount lenses usually have higher DXO score on A6000 due to its better SNR, but the sharpness is almost the same as NEX-7, which makes me wondering if DXOMARK really test these lenses on A6000 or just copy the results from NEX-7 and calculate the DXO score based on each camera's SNR.
I understand that there is a lot of work to do to test so much lenses on a new body so I wouldn't blame if DXO really just copy the sharpness from one camera to another. But it would be good to know if that's the case to make better purchase decisions.
Looking forward to your reply!