Does the reward for spreading religious knowledge on social media and refuting circulating (false) hadiths increase if the person remains anonymous, without informing anyone that they own the account?

Calling to Allah and conveying the truth are great deeds, and they carry immense reward, for "the one who points to good is like the one who does it," and "whoever calls to guidance will have a reward like that of those who follow him." The one who teaches people good, Allah, His angels, and the inhabitants of the heavens and the earths invoke blessings upon him. It is preferable for the caller to conceal his identity unless there is an overriding benefit in disclosing it.