That doesn't really follow. As an independent worker, you answer to your clients. As an employee, you answer to your single client. It's basically the same deal.
It's not quite true: places of employment that are ok with you firing a client, while they exist, are rare. When I was an independent contractor, I was loath to fire a client because they can be hard to find, but knowing I could and doing so was a good feeling. I don't know if the positive of that offset the mental stress of generating clients, but it was one of the positives. So was the freedom to work when you want. I now work remotely full-time for a company with an incredibly flexible attitude toward getting your work done, but I still feel guilty for running errands on "company time". The flip side to that is when I worked for myself, all time was potentially company time.
It's not really the same. You have way more control as an independent operator. Yes, you have to answer to your customers, but only to the extent and to the degree you desire. It's not at all the "same" as working as an employee.
My point is less applicable to freelancers with one/few customers and more directed towards operators that manage product/service oriented businesses with dozens/hundreds/thousands of customers.
