Do not draw that conclusion from the name difference alone. Establish the actual identity and relevant history using authentic records and the applicable instructions.
Explain rather than conceal the difference
Identify whether the issue is a legal change, spelling or transliteration. A coherent chronology can help the reviewer understand the record but cannot replace the underlying evidence or guarantee acceptance. EB-1 or EB-2 eligibility, admissibility and visa availability remain separate conditions; matching names cosmetically does not establish them.
An applicant submits the application and processing fee, undergoes vetting, receives further instructions, makes the gift when told, and then proceeds toward permanent residence through the employment-based classification the authorities determine, which depends on a visa number being available under the Visa Bulletin. The official framework involves government vetting and an eligibility determination under an existing immigrant category, and any ground of inadmissibility, such as immigration violations, criminal history or security concerns, applies regardless of the payment. Under the current official framework, a successful applicant receives lawful permanent resident status as an EB-1 or EB-2 visa holder, which authorizes employment generally; state contractor licensing remains a separate requirement.