Those are the two files
LX100
Video
ID : 1
Format : AVC
Format/Info : Advanced Video Codec
Format profile : High@L5.1
Format settings, CABAC : Yes
Format settings, ReFrames : 2 frames
Format settings, GOP : M=3, N=8
Codec ID : avc1
Codec ID/Info : Advanced Video Coding
Duration : 38s 38ms
Bit rate mode : Variable
Bit rate : 95.8 Mbps
Maximum bit rate : 106 Mbps
Width : 3 840 pixels
Height : 2 160 pixels
Display aspect ratio : 16:9
Frame rate mode : Constant
Frame rate : 29.970 fps
Color space : YUV
Chroma subsampling : 4:2:0
Bit depth : 8 bits
Scan type : Progressive
Bits/(Pixel*Frame) : 0.385
Stream size : 434 MiB (100%)
Encoded date : UTC 2015-01-24 13:55:27
Tagged date : UTC 2015-01-24 13:55:27
Color primaries : BT.709
Transfer characteristics : BT.709
Matrix coefficients : BT.709
GH4
Video
ID : 1
Format : AVC
Format/Info : Advanced Video Codec
Format profile : High@L5.1
Format settings, CABAC : Yes
Format settings, ReFrames : 2 frames
Format settings, GOP : M=3, N=8
Codec ID : avc1
Codec ID/Info : Advanced Video Coding
Duration : 31s 532ms
Bit rate mode : Variable
Bit rate : 79.5 Mbps
Maximum bit rate : 106 Mbps
Width : 3 840 pixels
Height : 2 160 pixels
Display aspect ratio : 16:9
Frame rate mode : Constant
Frame rate : 29.970 fps
Color space : YUV
Chroma subsampling : 4:2:0
Bit depth : 8 bits
Scan type : Progressive
Bits/(Pixel*Frame) : 0.320
Stream size : 299 MiB (100%)
Encoded date : UTC 2015-01-24 15:01:39
Tagged date : UTC 2015-01-24 15:01:39
Color primaries : BT.709
Transfer characteristics : BT.709
Matrix coefficients : BT.709
The codec implementation is exactly the same so if there is any difference between the two it has to do with how the clip is shot and the amount of sharpening, noise reduction, contrast and saturation
Low light performance for the GH4 sensor is slightly better I think around 2/3 of a stop in RAW so nothing to go partying about say you shoot at f/4 with the Panasonic 7-14 on the GH4 you need f/3.2 with the LX100
In general I think the gap between the two for video is not as big as it would seem it is just that we have not seen good LX100 clips yet
What is disappointing is the dome port I wonder if you can improve matters with a +2 diopter and zoom through the whole focal range in video as that would be really extremely interesting