Interesting post. Is there any way as to how to mitigate the effects of these distortions by taking picture composition into account?
(Like not having any changes of scenery (mountains -> sky) in the neigbhourhoud of the area where the distortion becomes notable?
Try to avoid straight lines, they'll get bent, but mostly you can correct it in post.
I usually don't think about distortion while shooting, the effects are hardly noticeable and easily fixable afterwards.