You do know that when you call IRCC that you are talking to a telephone call centre, not an IRCC officer. The call centre regularly gives bad information. Most agents don’t know the specific rules and regulations or operational manuals. Read “location of work”.
https://www.canada.ca/en/immigration-refugees-citizenship/corporate/publications-manuals/operational-bulletins-manuals/temporary-residents/foreign-workers/eligibility/eligibility-admissibility-conditions-including-validity-period.html
Location of work (mandatory imposition)
Location of work must be imposed as a condition where an LMIA has been issued or where it is a requirement of the LMIA exemption [R185(b)(iii)].
For example, when an employer has several franchise locations but indicates only one location on the offer of employment submitted through the system, the work permit should reflect the physical location of work and restrict the work to that location. However, if the employer indicates in the offer of employment that the worker will be working at multiple work locations, the officer should not restrict the work permit to a single location and should indicate in the “Remarks” field that the worker is authorized to work at the various locations across Canada.
For LMIA - supported work permits: The officer should impose the location of work to match the destination on the LMIA. This is to ensure that the temporary worker is working in the same labour market area assessed by Employment and Social Development Canada.
For LMIA-exempt work permits: Where the location of work is important to the exemption (such as for provincial nominees or specific “significant benefit to Canada” situations), location must be imposed.