The greater point is that if you put something really useful next to something really annoying it will exacerbate the issue.
F1 should not be so bad, and it should not be so close to F2. Even just leaving alone how bad, and utterly useless, the help dialogues in Windows are it's just terrible UX design.
It would be like having a "eject engine block" button next to the "start car" button. One day you're going to hit it instead of the one you meant... Annoying / dangerous UI controls should be kept out of the way of the more common features.