Ok I'll give it another shoot

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First things first, all these 70-200 lenses most photographers are so badly wanting are designed to be fast auto focus lenses, the design goal of these has never been to handle the best possible way when manually focused. Unlike with traditional lenses that were driven by a motor inside of the camera body these lenses are working with a Motor inside of the lens. Off course this motor isn't extremely powerful and for it to focus as fast as possible the whole Manual focusing System is dis-attached from the Moving parts of the lens when it is Automatically focusing. Is a bit like if there was a clutch between the focusing ring and the internal mechanics of the Lens.
The result of this are two negative aspects.
1.) The Manual focusing feels a bit Indirect, and it isn't the kind of smooth super precise manual Focus you would expect form a proper Manual Focusing lens.
To put it in perspective. I recently bought an Minolta MD 45 F2.0 from ebay for around 25€ just to give it to a friend of mine owning a NEX for him to play around with it. This Lens was a cheap lens already when it was Made while my 70-200 would did way beyond 2000€ new. (I belive it was also shipped as a Kit lens back in the days.) However this lens easily outperforms the 70-200 when it comes to manual focusing. The reason being that it didn't suffered from the design limitations you have if you want to build a quiet fast AF lens.
2.) The Manual focusing Ring isn't directly connected to the focusing mechanism. Traditionally if you pull focus using a Follow focus you have some sort of white disk (ARRI) or white ring (Chrosziel) that you can mark custom focusing points on. Lets say you have an actor going to different predefined points in a scene. You would simply write 1 2 3 4 ... on the follow focus ring for the points you want the focus to be. When filming you will simply focus looking on the markings of th followfocus so that you don't need to worry about the focus to be off. But if you you have the sort of lens described in the begining you can rotate your focusing ring beyond the end of the focusing distances of the lens. If this happens the position of the manual focusing ring changes relative to the distance the lens is currently focusing at. As a result your marks will not be correct anymore.
(3. AF lenses generally also have a shorter manual travel meaning that they are faster but less accurate to focus. This can be an issue for Cinematography however this changes form lens to lens and I can't make a definitive statement about the Canon Lens.)
I don't know about your Budget and your need to actually go far in the Tele Range but if the budget allows it a lens such as an used Cooke 20-100 T3.1, Angenieux HR 17-102mm T 2.9 or Angenieux HR 25-250mm T 3.5 . (These lenses however are more expensive then the Canon 70-200 so really make sure that they match your needs if you look into buying one.)
Concerning the Canon Zoom I would simply go and rent it for one or two days, renting such a lens is relatively inexpensive and I think that its a good was to see if the lens works for you or not.
I hope I could give you some other perspectives. But the best is really to try to get the Individual Lenses into your hands to try out what works best with your work-flow.