New Dealer vs booster

New Dealer and booster both are nouns.

Word	Noun	Adjective	Verb	Adverb
New Dealer	Yes	No	No	No
booster	Yes	No	No	No

As nouns, booster is a hypernym of New Dealer; that is, booster is a word with a broader meaning than New Dealer:

New Dealer: a supporter of the economic policies in the United States known as the New Deal
booster: a person who backs a politician or a team etc.

Other hypernyms of New Dealer include admirer, champion, friend, protagonist, supporter.

New Dealer (noun)	booster (noun)
a supporter of the economic policies in the United States known as the New Deal	an additional dose that makes sure the first dose was effective
	the first stage of a multistage rocket
	an amplifier for restoring the strength of a transmitted signal
	a thief who steals goods that are in a store
	someone who is an active supporter and advocate
	a person who backs a politician or a team etc.