The "problem" is that you just bought a camera that unpredictably casts unwanted color in different parts of your images. You then have to figure out a way to take this color out, either in C1, or Photoshop, or both. This does not only happen with wide angles or movement, but in my experience, it happens with all lenses and in all conditions.
How effective is C1 in dealing with this? Reasonably, but only if you take a LCC shot for every set of captures with a particular lens and in a particular setting. Changes in lighting conditions or elevation in my experience will lead to partial removal of the cast by C1. A standardized library of LCC shots will not, in my view, satisfy a stickler for image quality.
I ran the following test with my 250SA CFE: I took a shot of snow at 1000m. I then went down to 450m and took another shot of snow in the same lighting conditions and an LCC reference shot. When I applied the reading to the shot taken at 1000m, it only partially removed the cast. And this is a telephoto lens on a Hassy 503 -- no wide anlge on an LF camera!
The "problem" is that Phase One does not prepare you for this. The issue of lens cast is treated under the heading "large format photography" in their manual. It is given thin treatment. The manual states that lens cast is "very rare" in lenses longer than 60mm. It also does not state with any clarity at all that lens cast correction would require an LCC reading for every set of captures.
Would you buy a camera knowing in advance that it degrades your images, no matter how well you could reverse the degradation through added workflow steps? The answer would perhaps differ for every customer, but the manufacturer needs to acknowledge that this is a problem and be completely forthright with its customers about it.