Yes, but Earheart was pretty darn famous and under more scrutiny than most of our heroes in Layonara can likely be. Think how many relatively unknown people simply slip out in the night and abandon their families, and no one knows for sure anything more than they're gone somewhere.
I still say, leave it to the characters to say, "Gee, so-and-so sure has been gone on that fishing trip a long-long time now... maybe we should go looking for them?"
But how do you know the difference between that and the player being caught up in RL for a while?