According to Wagner channels Shoigu has been arrested.
Kremlin also released a video where he is conferencing with his cronies, including Shoigu, how to fix the situation.
So if Shoigu has been arrested, for some reason, the regime is still pretending as if he's very much not. Maybe to avoid giving any impression that the changes in MoD are being done as a concession to Prigozhin. Or maybe the rumours of his arrest are just disinformation.
It will take a few days or even weeks to find out what happens to Shoigu. Right now it looks he he survived the ordeal... but if not, it might be because Putin just considers him too much of a liability and a convenient scapegoat.