I'm not comparing renting to owning, I'm pointing out that they are different things, and each has an appropriate place. The image in the OP makes a blanket statement implying that all payment equals permanent ownership.
It is certainly true that there are things people pay for that they should have more rights of ownership over, but don't (even, and maybe especially, if they are led to believe they have ownership rights that they do not).
But even ownership of, for example, my car, does not extend to me the right to reverse engineer my car and build another identical one, and then sell that.
When you enter into a contract, where you pay for a product or service, there are a wide variety of rights you do or don't receive, depending on the agreement.
Edit: Since your employer pays you for your labor, they own you, right?