To be under the influence typically means to be intoxicated, but in this context the father was driving sober
Consider the statement "When she came back, I did tell her that her father had killed someone while driving sober and that he had been incarcerated.". Based on this "When she came back, I did tell her that her father had killed someone while driving under the influence and that he had been incarcerated." a true statement? Yes, no, or I don't know?