Of course burnout is a real thing and most of us are increasingly overburdened. Most work just seems to suck more and more and the lines between personal life and work life keep blurring. Nonetheless, this AI use would happen with or without burnout - it's just opportunism.
Also, Who the hell is supposed to do this training the article refers to? Does your office already have an AI tsar that could train people on best use? I haven't seen much of that yet.