People - sapient. Animals - not sapient.

I feel that if M. Terwilliger were petitioning to take her own life, I'd help her in a heartbeat. One of the primary safeguards must be that the patient wishing to die must be able to administer the lethal dose to themselves, even if that is by means of an elaborate device that just allows them to push activate the button on a machine that does it for them. At the critical moment of action, it has to be between the patient and the Univers, with no mediation on the part of other humans.

The law M. Terwilliger requests does not do this.