This may be a strange question and I may have some misunderstandings.
In my experience it’s not unusual for a contractor to be doing the same work as a regular employee. For example if a firm needs extra people during a busy time they hire contractors on for a short period of time. The contractor would likely use the same company equipment. They would work off the same computers, printer and stationary etc. as everyone else in the office.
This is becoming increasingly common throughout many countries, with revenue authorities increasingly looking at the “larger picture”, i.e. using tests that may encompass aspects of the contract, but frequently ignoring aspects of it entirely.
These contracts tend to fall into two broad groups; contracts for the supply of services between parties and employment contracts. The latter fairly obviously applies to employees and often falls under specific legislation which grants additional rights and responsibilities.
There is a great deal of misunderstanding about what the differences are between contract employees and actual contractors.
I cannot speak to Canadian law, but what you describe sounds like contract employees and not contractors.
The specifics of Canadian law and the province regulations would need to be consulted.