Is this the correct position in the full video? I didn't notice any issues there.
In HS, I understand the autofocus min/max distance is set to 10 cm and 10 m by default. So if there are issues at 5 cm distance, the min value should be lowered accordingly.
Moreover: Setting a narrow range for the min and max autofocus distances will help the algorithm filter out incorrect results. Meaning that the max value of 10 m should probably be lowered to something like 2 m for POV scenes.