[math-fun] "Abba-Ima" and Thue-Morse

Does anyone know the background of the incursion of the Thue-Morse sequence into 20th century Jewish popular folk music? There's a style of call-and-response mini-song often tucked into the middle of "David Melech Yisrael" dating back at least to the 1970s, in which two opposed Hebrew words or phrases, like mother/father and yes/no, are alternated in Thue-Morse style (see https://en.m.wikipedia.org/wiki/Thue–Morse_sequence). Was there some particular musician who was responsible for this? (Also, can anyone find a relevant clip on YouTube?) Jim Propp