No. Qualifying L spouses have a status-based work benefit with appropriate evidence; children do not receive it solely as dependents.
Keep personal requirements separate
The corporate chart is not a relative’s relationship or admission record. The dependent category is for a qualifying spouse or unmarried child under 21; each person needs valid status.
A spouse admitted in L-2 status is employment-authorised incident to that status and may work without applying separately for permission, subject to any professional licensing the occupation itself requires. Even once work permission exists, the company must truthfully document the principal’s duties rather than assuming that hiring a spouse automatically makes the principal a qualifying manager. Gather marriage or birth records, passports, prior status documents and each person’s intended activity, then compare those facts with the principal’s requested L period. Children admitted as dependants may attend school at any level but may not accept employment, and derivative status ends at twenty-one, which for a family with a teenager is a date to plan around rather than a footnote. Where a spouse intends to work, confirm what documentation an employer will expect to see before a start date is accepted, since the practical obstacle is usually proving the status rather than holding it.