I try to avoid passing judgment about what others feel led to pray.
Just my understanding that the Pope himself requested that people not pray for him to linger when it was his time to go. He wanted instead that we pray for a smooth and speedy passing into The Lord's hands--if my understanding is right.
There is always that doubt, or seed of a miracle of which we can never be certain to which we must cling. That is why the Pope was such a champion of God-given life. I hold out hope to the end and even beyond. The Lord Jesus is the King of the Universe and hence has the final say in this matter.
Perhaps this person is being led to pray because although his time is near it isn't quite here yet?