Summary

To fix a broken lightning connector:

1. Tear off the plastic cover (break it to pieces as necessary)
2. Fix the wiring with your mad soldering skills
3. Print a new cover using this Thing
4. Glue the two pieces together

I printed this successfully with my Anycubic i3 Mega

The model seems to be upside down, so flip 180 degrees in your slicer (Cura or similar).