While I get the point you're trying to make, and even somewhat agree with it, there are two definitions of "death" in play. The problem isn't hyperbole; it's simply one of equivocating between them.
There's clinical death, which the author of TFA very likely did experience. If VF continues for anything longer than a few seconds, asystole frequently occurs. Among other things, asystole is definitive of "clinical death."
On the other hand, there's death death. This is the one where we bury you and mourn you and so-on.
Yes, they're very much not the same thing. Yes, the author is probably equivocating between them, at least a little. But no, his describing what he experienced as "death" is not hyperbolic — at least not according to the clinical definition.