right of privacy vs legal right

right of privacy and legal right both are nouns.

Word	Noun	Adjective	Verb	Adverb
right of privacy	Yes	No	No	No
legal right	Yes	No	No	No

As nouns, legal right is a hypernym of right of privacy; that is, legal right is a word with a broader meaning than right of privacy:

right of privacy: a legal right (not explicitly provided in the United States Constitution) to be left alone; the right to live life free from unwarranted publicity
legal right: a right based in law

right of privacy (noun)	legal right (noun)
a legal right (not explicitly provided in the United States Constitution) to be left alone; the right to live life free from unwarranted publicity	a right based in law