The Klei Yakar in Parashas Yisro discusses the differences. The reason over there is the six day creation where a goy is also responsible to commemorate whereas yetzias mitzraim only applies to Jews. I explained with this shabbos morning davenen. It quotes veshomeru to prove that shabbos is in the lachus and not zachor? We said that shabbos was not given to the goyim but we just said that to commemorate the creation the goyim also have a responsibility some how. It says in veshomeru that between Hashem and the Benei Yisroel is a sign but not between Hashem and the goyim.
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