Some things cannot be translated from one word to another. A gezaira shava is something you learn by comparing two ideas that might be different, but have a commonality that makes it apparent that one concept is equivalent in some manner to the other. Maybe that’s it – a conceptual equivalence…?
the funniest google translate i ever got was from an ikea page showing buffets and pantry closets which are called miznonim and aronot. the google translate mis read miznonim as mamzarim and it read, i kid you not, Coffins for your illegitimate children!!!