The spouse’s qualifying status and documentation establish the relevant immigration basis, not the internal audience for the principal applicant’s work.
Keep family permissions separate from role terminology
Qualifying L spouses are employment authorized incident to status with appropriate documentation. Children receive no work permission solely through L dependent status. Review the actual individual status and intended activities.
Work from what each family member's own status permits rather than from the principal's category. Hypothetical example: an irrigation-audit specialist transfers to a United States operation while her partner intends to keep consulting for a Canadian water utility from the new address. That work would be performed in the United States and needs its own authorization; where the partner holds qualifying L dependent status, employment authorization is incident to that status with appropriate documentation, and the documentation must be in hand before any work begins.
Children in L dependent status may study, but they receive no work permission from that status, which matters to a household planning around an older teenager's summer earnings. Put each person's dates on a single page: passport expiry, the period of admission, and, for any child approaching twenty-one, the birthday. Ages and dates are the part of a family file that changes on its own while nobody is watching.
Where a child will study, ask the school district what enrolment documents it requires and by when, since those requests arrive on a school's calendar rather than an immigration one.