Is the saying "Kill falsehood by ignoring it" authentic, and was it attributed to Umar ibn al-Khattab, and how can it be applied correctly today?

The exact wording mentioned was not explicitly stated, but its meaning was narrated from Umar ibn al-Khattab, may Allah be pleased with him: "Indeed, Allah has servants who put falsehood to death by abandoning it, and give life to truth by remembering it." The meaning indicates a warning against spreading and circulating falsehood, even if the intention is to warn against it, because that leads to its proliferation and the publicizing of its matter, especially if the falsehood is obscure and not well-known. Sheikh Ali al-Tantawi mentioned an incident that confirms this meaning, where his attempt to warn against a musical concert led to an increase in attendance. Other scholars, such as Imam Muslim and Sheikh Bakr Abu Zayd, have endorsed this principle, emphasizing that turning away from an abandoned false statement is more likely to put it to death. This does not preclude advising the person who propagates falsehood in private, or refuting the statement publicly without mentioning its author. The criterion in this is to consider the benefits and harms.