Hard to say without knowing what our owner is thinking. But at this point it's looking more and more like lame duck though.
Information like this getting out so early in the season after a blowout win doesn't exactly instill confidence in Rivera.
I think the problem with things like this is that we don't how or why this information got out...or how serious it is. It can just as easily be that Gettleman doesn't think he will need to look elsewhere and is only starting the process as a fallback option...or maybe he has already made up his mind. But as you said, we can't really know without knowing what the owner and FO are thinking, we can only speculate.
Regardless, like CRA said, this isn't a lame duck situation like it was with Fox. There's at least the perception that Rivera can keep his job if we get to the playoffs. So there's still a reason for the players to stay focused and working hard, unlike with Fox when they knew he was gone no matter what.