No. It may resolve an evidence issue, but personal eligibility, admissibility and visa availability remain.
Identify what the correction establishes
A Killarney applicant should distinguish accurate identity information from the immigration determination. Do not describe the clarification as approval or assume it removes other requests or decisions.
Under Executive Order 14351, the gift is treated as evidence of eligibility under specified EB-1 and EB-2 grounds; the current official FAQ separately requires the applicant to be eligible for lawful permanent resident status, admissible to the United States and have a visa available. The official U.S. government program page describes an application with a nonrefundable processing fee, government vetting, and then a gift to the U.S. government; approved applicants are described as obtaining permanent residence through an existing employment-based classification, subject to admissibility and visa availability. Vetting is described as a background review, and any immigrant must also satisfy the general admissibility grounds in the immigration statute, which cover criminal history, prior immigration violations, health and security matters. Around both sit ordinary costs that no programme page lists — counsel to assess admissibility and classification eligibility, certified translations of civil documents, and the filing charges that attach to the immigrant classification actually used, which are published in the USCIS fee schedule.