The A3000 has an EVF but it cost $160 extra for the optional LX7 EVF and the A3000 kills the LX7 at high iso for stills.
A3000 vs LX7 @6400 iso
Yep it does, but he wanted a camera for Video mainly. The A3000 doesn't meet those requirements.
"A Picture might be worth a thousand words, but video is worth a million or more".
The LX7 can go past ISO 6400 btw. 12,500. But your right, the A3000 does have a bigger sensor.