No. Dependent eligibility does not depend on how the principal's reporting lines are drawn. Eligible spouses and unmarried children under 21 may seek L-2; a spouse in valid L-2S status is employment authorized incident to status without an EAD being universally required, and children are not work authorized by L-2.
Plan for a role with travel in it
If this particular assignment involves travel to other teams, map those absences alongside any immigration implications of the trips. Discuss who covers school runs and care during those periods, and what the family expects if the role's centre of gravity shifts. If a spouse intends to work, treat their authorization as a separate step with its own timing, and keep housing and enrolment commitments behind confirmed outcomes.
Add one further household matter that a travelling role tends to expose: who holds the documents and how a copy is obtained at short notice. In an arrangement involving frequent movement, the family will need to produce the same papers in different places, sometimes when the person carrying the originals is elsewhere. Agree where originals live, who holds certified copies, and how a replacement is obtained quickly.
Then confirm each passport's expiry against the whole intended period rather than the first year of it. Hypothetical example: a property management group's regional manager travels most weeks, and the household agrees at the outset that a scanned index and a set of certified copies live with the spouse, which turns an otherwise routine request into an afternoon's work rather than a rearranged trip.