There's no law that grants robots more human emotions and human traits. They've had those abilities for centuries before ZX's equality laws even come about.
The content of the equality laws are as follows:
"After years of constant battle between humans and Reploids, both sides - seeking peace and equality - reached an accord. They agreed to pass a law granting humans the same strength as the Reploids' mechanical bodies, and granting Reploids human mortality."
-"According to established law in aiming toward true equality for humans and Reploids, it's come to be in this era that humans are given a "machine body." Humans that reach a certain degree of age, they are given machine body similar to a Reploid's, and a portion of the flesh body, or all of it, can be exchanged to machine (the natural flesh body exchanged for machine is deposited at facilities in the country). Also, humans that have been given machine bodies are given a colation ID - a Hu Number (Hu meaning Human) - to indicate their flesh body's retention."
All these laws give to Repliroids is mortality, a lifespan, by use of a "life activity timer" that is activated the moment the electronic brain is.