Strange that you have the same problem with both Glocks and 1911s. As they have different grip angles.
The Shield, 1911 and Glocks Gen 1, 2 and 3 don't point naturally for me. Grip angle or something. I don't analyze it, I just move on.
Crazy that people have these grip angle problems taking shots from 7 yards away.
7 yards is fine. I gear everything to use in IDPA.