There were no satellite com systems. Most of HF radio’s then were still using Morse for aircraft communications.
She did have a radio operator on board.
Lots of myths associated with Amelia Earhart.
Most of them are like “big foot” sightings.
Earhart disappeared 16 years after the Titanic went down. By that time one would think wireless to be standard equipment aboard larger ships as shown in that photo. Would Earhart have kept mum under the circumstances, or would she instead have sought any way possible to communicate here whereabouts? Why not take a vessel back to safe harbor and then home?