Dumbledore saying so
Yes. At this point in the story, Dumbledore knows a lot more than Harry does about how magical people die.
People believed for a long time that cessation of heartbeat is irreversible. While this is less likely to be such a mistake (wizards have some stasis spells for medical use, so at least sometimes they would have more time to assess whether anything works on such a supposedly dead person), it's still possible.
Also, I'd like to posit this: this is the moment the magic decides the person is no more and from this point on any magic that works on a person won't work on him/her. But, nonmagical intervention and spells that aren't designed to target a person could still reverse it.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 88-89. The previous thread has passed 500 comments.
There is now a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
The first 5 discussion threads are on the main page under the harry_potter tag. Threads 6 and on (including this one) are in the discussion section using its separate tag system. Also: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18.
Spoiler Warning: this thread is full of spoilers. With few exceptions, spoilers for MOR and canon are fair game to post, without warning or rot13. More specifically: