Agreed. IIRC, last rites include praying a “perfect” act of contrition - if he is not contrite, last rites are pointless.
Perhaps a better headline should read:
Catholic priest makes heroic attempt to get sinner to heaven - the sinner refuses.
Not correct.
Imperfect contrition is always sufficient in Confession.
“Last Rites” is the unofficial term for Confession, Anointing, Viaticum, and the Apostolic Pardon. The Apostolic Pardon is given only in extremis.