No. Eligibility for permanent residence, admissibility, and EB-1 or EB-2 visa availability are individual legal requirements that do not depend on a family's business history or community standing.
Review individual eligibility regardless of local reputation
Confirm each applicant's personal eligibility and admissibility with counsel, and treat the official framework's financial terms as separate from any assessment of the family's business success.
The applicant must still be eligible for lawful permanent residence, admissible, and have an available visa; the described process includes an application, further USCIS instructions, vetting, and the gift when instructed. If the immediate need is attending a meeting, a conference or a supplier visit, that is an ordinary business-travel question with its own rules and its own documentation, and it has nothing to do with an immigrant-category framework. Permanent residence then follows through an existing immigrant classification, which means the ordinary grounds of inadmissibility apply, and a visa number must be available under the Visa Bulletin for the applicant's country of chargeability.