It really seems like a stretch. I put myself in that position. If someone offered me money to ram my own ship into an iceberg and sink it into a bunch of icewater on a dark night in the middle of nowhere in the north Atlantic, on the promise that some other ship will supposedly be there to pick me up in time, do you think I would do it? Even today? Let alone in a time before GPS, radar, satellite phones, radio, 4g internet, or anything else? With no means of communication except Morse-code radio telegraphy? Are you kidding me? And leave aside the guilt of murdering a couple thousand people in the process. I don't think most sane people would do this, and anyone psychopathic enough to even consider it would likely not be put at the wheel of an oceanliner. And, as you said, the ship didn't pick them up in time anyway. If it was arranged for it to be there to pick them up, then why wasn't it?
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EDIT: wording