“Does it apply to any other foods (i.e. cholent)?”
I remember a talk from Rav Chaim Mintz Shlita at a leil shabbos seudah in Yeshiva Staten Island, where he mentioned that cholent is a “maychal shabbos” and should be reserved for shabbos. For some context: He was objecting to the fact that bachurim would go into the yeshiva kitchen on erev shabbos and help themselves to cholent. Aside from the obvious (the yeshiva is makpid and it is considered geneiva) he also mentioned that chulent should be something special saved for shabbos.