James Cameron's movie depicted many hundreds of bodies just sitting in the ocean after the ship went down. Whether that is true or not, it could partly be correlated by survivor testimony that stated a great wail of sorts could be heard, that to some, sounded like chirping crickets, that slowly died away.
Now, with Cameron's movie in mind, and assuming that there were hundreds of bodies on the surface...it does make you wonder if
Carpathia, Californian, or Mt. Temple did a through job of looking for bodies or not. Yes, there's a current in the water, but from 2:20, when most of the people would have been in the water after the ship went down, to rescue at 3:30-8:30, it just seems to me, that all those bodies would be just sitting there. Sure, it was hard to really see anything in that pitch darkness, but I think that by dawn, there would still have been a substantial amount of bodies just laying there.
Perhaps, IMHO, the cold hard truth is that the three rescue ship aforementioned, had no accommodations for dead bodies, so they sailed on, and stated that there were no bodies to be seen. Of course this couldn't be verified, because by the time other ships passed by, days had passed, and the current did its work.
"But wait!" you say, "there were 705 survivors, plus additional crew and
Carpathia's own passengers"
well, the survivors and regular passengers would be too occupied with helping and sorting out what they just witnessed, and the crew certainly doesn't or won't want to admit leaving bodies behind for fear of a lawsuit.
Those are my thoughts anyway....