Homer's Barbershop Quartet praised the "four-part harmony of hilarity [that] gets a flawless mop top modeling", complimenting the references to pop culture icons as being "right on the money". TV DVD Reviews commented on how the episode "hit all the right notes", and was pleased with Harrison's cameo. Despite the episode being a "leftover from last season", "The Washington Post" still applauded the episode's humor, saying, "Who cares? It's funny." "The Courier-Mail" found "Homer's Barbershop Quartet" an entertaining episode. Asserting that the series hit its peak with season five episodes such as "Homer's Barbershop Quartet", the "Sunday Tasmanian" called the episode a "first-class
How Many Fucks "How Many Fucks" received positive reviews from music critics, with some complimenting its "sexy" appeal. A music video was released the same day of the single release, and featured Jayne in several "risqué" outfits. "How Many Fucks" was written by Justin Tranter and Myah Marie, while its production was handled by Adam "Gage" Bruce. As described by Jennifer Pearson of "Daily Mail" stated that the single would likely "lift her from relative obscurity" and joked that the lyrics "drop[ped] the F-bomb several times to answer that question," referring to the song's title. Musically, "How Many Fucks" is a pop rap