The 24-70 2.8 and the 70-200 2.8 are the perfect tag team. The 24- 105 2.8 is just too much overlap IMO,
I prefer having some overlap on zoom lenses. In the real world it makes shooting much easier, not having to stop and switch lenses when a subject moves or to get just the right framing.
The pair of the 24-70 and 70-200 implies that most people shoot with two bodies. Many working photogs, as well as others, prefer to use a crop with the 70-200 for extra reach, while using a FF with the 24-70. Constantly changing lenses during an assignment is a pain, I agree.
I would imagine that most would agree that they use the short zoom for close proximity and the long zoom for when they hang back to get the candids. I have personally have never wished for extra length on the short zoom because the type of shot that I would be getting with the longer focal length is covered by the long zoom.
If you ask me... Canon really needs to develop the 200-400 at f2.8 instead of f4. The combo of the 70-200 and 200-400 would be great for sports journalists.