Wolf – I believe the gemara in Sanhedrin asks ‘Who pays for the cloth that is used in Chenek, the Tzibur or the person being executed?’ and answers it is paid for by the Tzibur as opposed to the guy himself because the Chiyuv for him to be put to death falls on Beis Din rather than himself.
Nothwithstanding that it is clearly G-d’s will that he die – nevertheless it is not considered his issue to take care of.
Can one not compare this to your question?