No. Review the applicable immigration process and each person’s actual status documents. The lease term or site-opening schedule does not determine authorized stay.
Keep status and business schedules distinct
Qualifying L spouses are authorized to work incident to status with appropriate documentation. Children do not receive work permission solely through L dependent status. Plan school and employment arrangements around the actual individual permissions.
A spouse in valid L-2 status is generally employment-authorized incident to status, but should retain the evidence required for employment verification; L-2 children do not share that work authorization. A lease term or a site's opening date is a business milestone; neither one sets any family member's authorized period of stay, and the two dates rarely coincide by design. Read each admission record itself for the date that actually controls a person's stay, treating the project schedule as background context rather than a controlling fact. Ask, specifically, what would need to be filed to extend a dependent's own stay if the project runs past that controlling date, since realizing this late leaves little room to act. Revisit the household's calendar whenever the underlying petition is later extended or amended, because a changed business timeline does not automatically update a dependent's own record. Keep the business and immigration calendars visibly separate, even when the dates happen to land close together.