No. TD provides no work authorization, including remote services performed in the United States for a foreign employer. A qualification alone is not an immigration permission.
Assess a separate work basis if needed
Eligible TD dependents include a qualifying spouse and unmarried child under 21. If the spouse intends professional work, assess that genuine proposal independently rather than relying on the principal’s category.
Review a child's schooling and any age-related question separately from the spouse's employment question, and clarify whether the household plans to arrive together or in stages so each person's documentation can be prepared accordingly. If the arrangement is later treated as self-employment, the consequence is not confined to the principal's own position; a spouse and children whose status derives from it are affected at the same time, in the middle of a school year and a lease. Practical options include the spouse pursuing an independent status, planning for a defined period on one income, or comparing classifications whose dependent status authorizes employment incident to status. Dependent status extends to unmarried children under twenty-one and permits study, but it does not authorize employment for them either, so an older teenager expecting summer work needs a separate answer.