It's not "Extreme Unction" or "Last Rites" anymore. It's called something like the "Anointing of the Sick" and it's intended to impart spiritual strength to accept whatever comes and, hopefully, to help the person get well.

As for the "life choices he has chosen to deny Catholics" -- well, many, many, many Catholics around the world have chosen to deny his denials. The official positions of the Catholic Church and the actual practice of Catholics can be miles apart. As an example, consider the gap between the teaching of the Vatican on birth control and the actual practice.
(Yes, I'm quite aware that Humani Vitae was written two Popes back -- I'm just using this as an example.)

As a friend of mine, an Emeritus Professor at a Catholic college, once said, "We try not to let our Church interfer with our Religion."