Shakespeare certainly used oaths and “minced oaths”, which were the common “swear words” of his day. In fact the historical use of prohibited oaths as profanities is why we still call it “swearing” even today.
Perhaps a better approach would be paraphrased by Mark Twain, who said that a compliments commonly given, cease to be compliments. When Shakespeare used his “get thee to a nunnery”; its use was infrequent and eloquent, to convey both outrage and shock. Much like the “Go to Hell” in Gone With the Wind, its use was probably necessary given the situation.
Today, the foul language is used multiple times in everyday language; such that it is so common as to be meaningless. Vulgarity for the sake of vulgarity. This is hardly the mark of an intellectually gifted individual.