No. Check each relative’s actual status and dates. TD does not authorize employment, and an employer’s continuation plan does not create that benefit.
Keep the household records individual
A school calendar or spouse’s plans may depend on the principal, but they do not determine authorized stay. Identify any separate steps needed for each person. The dependent framework generally covers a spouse and unmarried children under 21; each person must obtain and maintain the appropriate status.
Work performed physically in Canada is not US employment and does not require TN status, but it changes the record: the applicant becomes an existing employee whose US entry must be as a TN professional, not a visitor. Whether operating a Canadian business remotely while physically present in TD status counts as prohibited employment is not clearly settled, and the safe assumption is that it may be treated as work. Before any productive task begins, the spouse needs a distinct immigration classification that itself carries employment authorization; a recruiter willing to place both spouses cannot substitute for that requirement. Households should therefore plan the response in advance: what the family would do if a contract were cancelled, whether a child mid-school-year would remain, and whether anyone in the household has an independent basis for staying.