Mac. Does sleep when battery flat, rather than "die" completely - but how long do you trust it for? Knowing Sod's Law, I opted for the run.
(terminology: 'sleep' is suspend to RAM, requires battery to keep active. 'hibernate' is suspend to disk, no battery required after RAM copied to HD—obviously requires enough HD space to run the persistence.)
Have you tried an SMC reset? That's the low-level whatnot that controls the battery, and sometimes it can get confused.