While extreme/traumatic, I think it could be more reliable as other factors below neck are taken out if equation to dramatically increase chance to survive. Other methods rely on hoping the body isn't too broken to recover. Ie restarting heart, etc then literally giving up as the brain dies from lack of blood flow.
A lite version of above is cutting the veins in neck and attaching a dialysis. Would this lite method work?
Source: Hearsay reports of moving lips from beheaded woman was literally inspiration for this idea, not futurama heads.
Edit: https://theconversation.com/did-anne-boleyn-really-try-to-sp...