Eu acredito que você está correto. O mesmo acontece com o wiki MASH:
In many episodes, Mulcahy is seen wearing a "Loyola" hoodie. This makes sense in that Mulcahy was a Jesuit and Loyola is a Jesuit school. In the final episode of the series, however, Mulcahy is seen wearing a "Wesleyan" sweatshirt; Wesleyan University, the alma mater of actor William Christopher, was affiliated with the Methodist Church until 1937.
Ele também se identifica como um jesuíta na série, mas não consigo encontrar citações específicas de episódios.