Final answer:
The claim concerning the sacrament of anointing of the sick being not valid if the recipient is unconscious is false. The sacrament can be given to those who are gravely ill or near death, regardless of consciousness.
Step-by-step explanation:
The statement "The sacrament of anointing of the sick is not valid if the recipient is unconscious and on life support because they have no way of knowing what is happening" is false.
According to the teachings of the Catholic Church, the sacrament of anointing of the sick can indeed be administered to a person who is unconscious or otherwise unable to communicate.
The sacrament provides spiritual healing and strength, and it can be received by any baptized Catholic who is facing serious illness, old age, or is nearing the possibility of death.
The recipient's awareness is not a prerequisite for the sacrament's validity, as the grace conferred by the sacrament operates on a spiritual level, which does not require the conscious participation of the recipient.