Re: Contract Employee ?
You were not wrong in your request or your thinking. In addition to what Lee said, the client could potentially get into some hot water. Here in the U.S. there is a distinction between employee and sub-contractor. This distinction can be the determination of the client paying or not paying employee taxes. If they don't and have you listed an employee, there could be consequences (penalties, etc). Again, I am not sure if it works the same way in Canada.
Regardless of that, you also want to be sure you establish your working relationship from the get-go as a partnership and not one in which you are an employee or subordinate. You are a business owner just like the client, providing a service to him. Being listed as a contract employee negates that - at least in writing.