Nah, the rule

Treat people as they want to be treated.

doesn’t logically imply anything you wrote. It lacks constraints for justification.

In contrast, treating others as you would want to be treated (if you were them) implies or suggests considering & supporting their justifiable needs. You wouldn’t want to give yourself unjust obligations. If someone wanted a treatment from you that is unjust, and you were them, then you would create an unjust obligation on yourself, so you wouldn’t do it. If they wanted a just treatment, and you were them, then you would want it, so you’d treat them accordingly.