LLMs can persuade only psychologically susceptible humans on societal issues, via trust in AI and emotional appeals, amid logical fallacies. - Alexis Carrillo; Salvatore Citraro; Ali Aghazhadeh Ardebili; Enrique Taietta; Giulio Rossetti; Emilio Ferrara; Giuseppe Alessandro Veltri; Massimo Stella (CoRR, 2026)