I sold my 24-70 f/2.8 v1 for $1100 when the 24-105 used prices finally plummeted and I was able to pick one up for $600 used (in pristine condition).
The reason why I ditched the 24-70 was because I never used it for portraits (always use the 70-200 f/2.8L IS II or 85 f/1.2L II) and the 24-105 was more versatile for what I did use that focal range for (products and video).
That being said, I also dumped the 24-70 v1 because it just didn't look good on the 5D Mark III. Granted, at the time I still had a 5D II for backup, the 24-70 just didn't resolve very well at all (which explains why they updated it with a version 2).
I shoot video also, and I almost always prefer the 24-70 over 24-105. You can improvise a very good stabilizer with a tripod, one that completely outdoes the optical stabilizer. And the extra stop of exposure really helps with the lighting and bokeh. Also, the smooth zoom range (24-105 has a compressed 24-36 zoom, like a log curve), reverse zoom and its immense build quality all helps.
The 24-105 is
infamous for its excessive distortion throughout the range. For product photography this lens leaves a LOT to be desired, and for video it's not tolerable at all.
IMO the version 2 looks uglier and cheaper than the version 1. It also has worse bokeh when compared side-by-side, despite having an extra aperture blade. The sharpness is not worth the extra $1000, especially not for video where it doesn't matter anyway.
I shoot, like a lot of other people, APS-C for the moment. It has higher pixel density than full frame cameras, obviously. And the version 1's somewhat outdated resolving power is more than good enough for most, if not all uses.