No. L-2 eligibility follows from the executive's own approved L-1A status once granted; the layoff issue is resolved at the principal petition stage and does not create a separate family requirement.
L-2 eligibility follows the principal petition, not the continuity history
Once an L-1A petition is approved despite the five-month layoff, because a genuine continuous qualifying year was identified and documented, the executive's spouse and unmarried children under 21 can generally obtain L-2 status derivative of that approval. The continuity question that had to be resolved for the principal petition does not translate into any separate hurdle for family members; their eligibility depends on their relationship to the executive and on the executive's own status being approved, not on the details of how the qualifying year was assembled. L-2 spouses are generally employment-authorized incident to their status, which can matter in practical planning terms for a family relocating around a transfer built on a reconstructed rather than straightforward employment history, but this authorization is a feature of L-2 status itself rather than something that needs separate proof tied to the layoff.