Remember that sortition is government by committee. You're not selecting one person to be in charge by lot and taking a gamble on that person's competence; you're selecting a group of dozens or hundreds of people, from a pool of qualified volunteers, and having them come to a consensus on what to do.
If I had to decide who would make better decisions, a committee of 100 or so ordinary citizens, all of whom were more politically active and aware than the average citizen (or they wouldn't volunteer in the first place), or a career politician whose first priority is to manipulate citizens into voting for him and whose second priority is to make money off his position, I'd choose the committee every time. Better a group of people who may have been influenced by post-truth brainwashing than one of the people doing the brainwashing in the first place.