No. Family derivative eligibility on an employment-based petition follows that petition's own rules; Gold Card participation is a separate track with its own terms and does not alter the petition's existing family provisions.
Family eligibility stays governed by whichever track it is filed under
An employment-based immigrant petition's provisions for a spouse and unmarried children under 21 operate under that petition's own governing rules, and participating in the Gold Card program separately does not modify or expand those provisions. If a family is considering the Gold Card program on its own terms, whether as a standalone path or alongside the existing petition, family members should be evaluated under the Gold Card program's own current framework as described on the official program page, since it is a distinct mechanism from employment-based immigrant sponsorship. Applicants should be careful not to assume that being included as a derivative on one track automatically carries over to the other; each track's own rules for who qualifies as a family member need to be checked independently.