No, think about it.
They could calculate the reentry pretty precisely, true, but once it sinks in (presumably) a couple of miles of water, not only could it have drifted, but you didn't have any way of determining your position down there. I don't think they had the kind of imaging sonar we have today, either. Look how long it took them to find those broken arrows in the Med, or Thresher and Scorpion.