Et cetera et cetera

A few times in the last two months, I heard or read "et cetera et cetera."  "Et cetera" is Latin for "and others," but I think people are starting to use it with the intended meaning of "and so on."  If the actual meaning of the Latin is held to, however, "et cetera et cetera" doesn't even make sense (or - at the very least - it's redundant).  As I've written about before, "et... et..." in Latin is the correlative "both... and...," so "et cetera et cetera" isn't "and others and others" (or - as people try to use it - "and so on and so on").  Rather, it means "both others and others."