The consensus is that "a true sugar cream pie doesn't include eggs".
[1] Sugar cream pie has been made in Indiana since the 19th-century when fresh fruit was precious and eggs were not a common ingredient.
[3] Sugar cream pie is the unofficial state pie of Indiana,[4] where it is believed to have originated with Quaker settlers who came from North Carolina in the early 19th century, and thereafter settled in East Central Indiana, particularly around the cities of New Castle, Portland, Richmond, and Winchester.
They are recognizable for their nutmeg dusting and shallow depth in a disposable aluminum pan.
[9] Most connoisseurs agree that "a true sugar cream pie doesn't include eggs".