I would buy that, but they said there was nothing on her phones to indicate such a scenario, unless LE said that to not scare the perp away or to cause them to harm her.
SPECULATION ONLY- NOT A FACT!!!!! Another thought that crossed my mind is that he just showed up at her window, too, knocked on it, she opened it, packed and left, but how would he know which window was hers? He'd have to be careful doing something like that, or he could knock on the wrong window. So that let's that theory out.
Makes you wonder with the FBI interrogating that guy at the gas station, if like in Hania's case, they're denying any relation to the disappearance until they get more out of him or evidence that he had/has her. It seems strange they would take a guy away for hours and so far, nothing has been said about him being released by LE. If he is involved, I pray he didn't hurt Savannah.