I prefer the Destiny version.
And I know there's very little chance of this getting out (assuming anyone in the present could even know about it), but...
That being said, the only thing I thought was kinda cheesy about the Destiny
version was the origin of the actual name
Also I'd love to see how this went down in the Mirror Universe. The MU Borg are different enough that they could have a completely different origin. Of course there couldn't be a mirror Destiny, but there's lots of other origins to pick from.