Distortion as a rule is of the pincushion type at the telephoto end of a telephoto zoom and of the barrel type at the wide end. The 70-200/4 VR is no exception.
The good news is that like most zooms, moderating the amount of zoom neutralizes the distortion. At ~160mm there is zero distortion, example shown below.
Thus for any kind of architecture, flat horizon, etc, shooting at a more moderate zoom level can do wonders for the distortion.
The pincushion distortion at 200mm makes the 70-200mm f/4 VR just fine for all-around shooting, but it’s quite a distraction with straight lines. Here the structure at top visibly bows down.
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