You might want to check out ALCOR. I recall attending such an experiment in the early '80's. The dog died. But not because of the near freezing or blood replacement. Rather, their new PH meter malfunctioned simultaneously with their new blood oxygenater. So the dog expired from lack of oxygen long before the treatment was finished.
However, on other occasions, they succeeded in doing what you described, repeatedly and in the early 1980's. I.e., this is hardly new science.
More promising is perhaps the news on the induced hybernation front. We know how to do it with mice now, and the same chemical pathways exist in humans, so we should be able to put humans into a deep hybernation, like bears, in which all metabolic processes - including the process of dying, as well as cancer growth, aging, etc. - come to a virtual halt. Whether we can do this safely and reliably and whether the ratio of hybernation time to awake time can be set at a point that we could essentially put someone on hold until we had a cure for whatever ails them are all unresolved questions, but the evidence so far is looking good.