I've seen a lot of bent danforths (mostly knock-offs) returned.
They are not meant to take off-axis pull. They are best for multi-anchor rigs (not tandem, either).
It very true that you may be horsing it from the bottom very roughly. You should not need to "run-it-over." Get over it, take up the slack, and let the waves lift it out... or some variation.
The root theory sounds reasonable, too.