After arriving at the residence of Sun Daoyuan, Lin Yi did not rush to reveal himself. Based on his deduction, upon learning the news of his announced departure from this realm and potential ascension, it was highly likely that Sun would take the initiative to pass the information to the Immortal Realm.
After all, since this was publicly disclosed information, if Sun Daoyuan failed to pass it on, then the organization in the Immortal Realm would definitely suspect him of betrayal. As a Golden Immortal, he would certainly understand the importance of such an action.
Throughout his centuries of surveillance on Sun Daoyuan, Lin Yi found him to be extremely cautious. Even when alone in his Cave Mansion, he never leaked any information about the organization, including talking to himself, to the extent that Lin Yi still did not know the name of this organization.