snatcher vs stealer

snatcher and stealer both are nouns.

Word	Noun	Adjective	Verb	Adverb
snatcher	Yes	No	No	No
stealer	Yes	No	No	No

As nouns, stealer is a hypernym of snatcher; that is, stealer is a word with a broader meaning than snatcher:

snatcher: a thief who grabs and runs
stealer: a criminal who takes property belonging to someone else with the intention of keeping it or selling it

Other hypernyms of snatcher include thief.

snatcher (noun)	stealer (noun)
someone who unlawfully seizes and detains a victim (usually for ransom)	a criminal who takes property belonging to someone else with the intention of keeping it or selling it
a thief who grabs and runs