I came across a few cites supporting the "quite a bit" answer in the "Cold War" article at Alcor (linked elsewhere on this thread).

It is interesting and more than a little ironic to note that fifteen years prior to the time that Persidsky wrote the words above, a large and growing body of evidence was already present in the scientific literature to discredit the "suicide-bag concept" of lysosomal rupture resulting in destruction of cells shortly after so-called death. I cite below papers debunking this notion:

• Trump, B.F., P.J. Goldblatt, and R.E. Stowell, "Studies of necrosis in vitro of mouse hepatic parenchymal cells; ultrastructural and cytochemical alterations of cytosomes, cytosegresomes, multivesicular bodies, and microbodies and their relation to the lysosome concept," Lab. Invest., 14, 1946 (1965).

• Ericsson, J.L.E., P. Biberfeld, and R. Seljelid, "Electron microscopic and cytochemical studies of acid phosphates and aryl sulfatase during autolysis," Acta Patho Microbio Scand, 70, 215 (1967).

• Trump, B.F. and R.E. Bulger, "Studies of cellular injury in isolated flounder tubules. IV. Electron microscopic observations of changes during the phase of altered hemostasis in tubules treated with cyanide," Lab Invest, 18, 731 (1968).

Eight years before Persidsky pronounced the situation hopeless due to lysosome rupture after death, an excellent and exhaustive paper appeared, entitled "Lysosome and phagosome stability in lethal cell injury" (Hawkins, H.K., et al., Amer. Jour Path., 68, 255 (1972)). The authors subjected human liver cells in tissue culture to lethal insults such as cyanide poisoning and then evaluated them for lysosomal rupture. They state: "In conclusion, the findings do not indicate that the suicide bag mechanism of lysosomal rupture prior to cell death was operative in the two systems studied. On the contrary, the lysosomes appeared to be relatively stable organelles which burst only in the post-mortem phase of cellular necrosis." And when does this "post-mortem phase of cellular necrosis" occur? Again, to quote from the Hawkins paper: "As late as four hours after potassium cyanide and iodoacetic acid poisoning, where irreversible structural changes were uniformly seen, it was clear that the great majority of lysosomes continued to retain the ferritin marker within a morphologically intact membrane . . ." To translate: even four hours after poisoning with drugs that mimic complete ischemia, the cells had stable lysosomes.

There's more at the link.