The way Bungie handled the story and lore in Destiny remains one of the saddest missed opportunities with the game. However, it seems that they may be looking at changing that with the upcoming Destiny 2. According to some job listings dug out and analyzed in depth by NeoGAF, it sounds like Bungie may be looking to do routine, consistent small scale narrative updates for Destiny 2– which is really how something like narrative should be handled for a persistently online game and world, anyway.
Destiny 2 is apparently slated to launch this year, for Xbox One and PS4, and presumably for PC as well (though the original game was never on PC, and PC has not been discussed as a target platform for the series).
Source: Rheena.com