The problem is, once death comes into the picture, the mental program can't carry on business as usual - there won't be any "me-ten-minutes-from-now". And one reaction is to automatically switch allegiance to the closest copy of me - for example, cryonically-resurrected-me-a-century-from-now.

Once you get resurrected, wont the mental program continue carrying business as usual and so wont the "me-ten-minutes-from-now" keep being there?