How to reproduce:
1. Open the attached project and open "scene".0
2. Make sure the tool handle settings are set to "Pivot" and "Local".
3. Make an animation on "parent".
4. Animate the parent object's rotation with the rotation handles.
5. Note that no position keyframes are created.
6. Return to the child object and animate its rotation with the rotation handles.
7. Note that position keyframes are created!

Additional notes:
- This doesn’t happen if the parent doesn’t have animated rotation.
- Editing the animation by editing values in the inspector does not cause this problem; it seems to be related to the rotation handle tool.