With no explanation, label text_A→text_B with either "DON'T KNOW", "NO" or "YES".
text_A: The many sonatas that were unpublished during Scarlatti's lifetime have appeared in print sporadically in the two and a half centuries since. Scarlatti has attracted notable admirers, including Béla Bartók, Arturo Benedetti Michelangeli, Pieter-Jan Belder, Johann Sebastian Bach, Muzio Clementi, Wolfgang Amadeus Mozart, Ludwig van Beethoven, Carl Czerny, Franz Liszt, Johannes Brahms, Frédéric Chopin, Claude Debussy, Emil Gilels, Francis Poulenc, Olivier Messiaen, Enrique Granados, Marc-André Hamelin, Vladimir Horowitz, Ivo Pogorelić, Scott Ross (the first performer to record all 555 sonatas), Heinrich Schenker, András Schiff and Dmitri Shostakovich.
text_B: When Scarlatti was alive, would there have been many sonatas of his that were impossible to find copies of in anyone's home?
YES.