Is moving the goalposts your hobby or just a bad habit of yours? These people were pronounced, in a clinical setting, dead as per your request. These people didn't have 'localized circulatory collapse,' they had their heart and breathing stop, and as the paper notes, this is probably an under-reported problem. Moreover, I donno how to break it to you, but O2 consumption monitors work on the assumption that you are experiencing respiration, something that if you are doing when somebody starts CPR on you? They're doing it very wrong.
It seems unlikely for two reasons that O2 consumption monitoring would have not identified these people as dead, anyway. For one, if you'd read the paper, you'd know it explicitly discusses means for detecting Lazarus syndrome without relying on chance. If it'd work, they would suggest it. Perhaps more to the point, several of the cases in the lit suffered the kinds of damage that strongly indicate oxygen deprivation--no respiration was taking place, meaning you'd be unlikely to notice much difference between it and a fresh corpse since the microbes involved in decomposition also consume oxygen. (How do you think vacuum-preservation of meat works, magic?)
Oh, and the paper covers what medical science defines death as though I suppose it might be hard to understand if you don't have a biomedical background. (Here's a bit of help: in asystole the heart isn't even twitching, the heart monitor flatlines, and it is very, very memorable once you've seen it happen. So of course the physio lab on how heart monitors work required we wrap up with flatlining our pithed frog...)