I'm not sure why all the hate. This is entirely up to your friend. If they want to spend their remaining time trying moonshots, then by all means do it, and blog the results online and share with others. Make it into something fun. It literally does only increase their chances of survival even if by some extremely small amount.

Otherwise, if they prefer to spend their time in other ways, support them in that.

"False hope" is kind of an oxymoron. Hope is never easy to have. Fortunately it's not required. You can accept death and still find enjoyment/distraction in self-experimentation.