I am confused about Alex Jones' lawyer's "mistake" in sending all of Jones' phone contents to the plaintiffs

Because the law has enough grey area and judgment call that they don’t know what an appellate court will do. But even if they reduce the punitive award from $4 billion to $1 billion, it is still significant.

The whole idea that the due process clause protects defendants like this is entirely made up by the courts, but you seldom here conservatives complain about it.