The shoes and socks could have come off in the helicopter or on land as they were checking her vital signs. The planar reflex is often done as one of the signs of death. After that they could have easily been left behind or given to her relative who was at the scene.
In forced landings passengers are often told to remove jewelry.
Did you see anybody moving to take off jewelry in Puentes’ video?
The USCG helos have advanced equipment to monitor and treat stuff like heart attacks, but they took the time to take off her socks and shoes so they could tap both of her feet, in order to determine if she was dead?
They didn’t take off her jacket, shirt, or bra to use paddles, apply electrodes, or anything like that, but they took off both socks and both shoes to figure out if she was irreversibly dead?
You’re grasping at straws, and it is very evident to everybody reading this.