I take it you didn't actually watch the mythbusters episode, then. If they both just climbed on the door they would have both died. They would have had to jury-rig a contraption using the life-preserver Rose was wearing to survive... barely.
Did she not? Is that an obviously silly flaw, or just some dumb internet argument keyboard warriors throw out to try and prove how obviously intellectually superior they are?
I'm pretty sure I'm not showing my intellectual superiority, which I don't have, by saying that maybe she should have tried to let him on the door because she loved him rather than because of some Mythbusters experiment.