A Confession, twice. The Aylmer Maude translation (Oxford University Press, 1921) and the earlier Thomas Y. Crowell translation (New York, 1899). Neither contains the phrase; neither contains “majority share” or “cease to be wrong.”
The wider corpus. Forty-five Tolstoy titles in English from Project Gutenberg — including The Kingdom of God Is Within You, What Is Art?, My Religion, What to Do?, Resurrection, War and Peace and Anna Karenina — plus Maude’s Essays and Letters, Recollections and Essays and The Slavery of Our Times from the Internet Archive. Not one of those texts contains the phrase, the words “majority share,” or the words “cease to be wrong.”
Print before the internet. A phrase search of the Library of Congress Chronicling America ↗ newspaper corpus returns no match for the phrase. Wikisource’s full-text index returns none either.
The specialists. Quote Investigator has published nothing on this line — its own site search for “cease to be wrong” returns “Nothing Found.” So there is no expert finding to defer to here, and none to contradict.