I agree with this post.
Also, remember in all the Mass Effect games, where you talked to your crewmates and other NPCs and they talked about their respective races? Or when they talked about the lore and worldbuilding? And it was presented at key moments in the story, so as to not leave the player lost as to what is going on.
For example, already pre-existing NPC's could have some expanded dialog with exposition about the state of the world. Maroo could talk about her orokin artifacts, treasures and her stars. Darvo about the Corpus, who are they, what are they, how they came to be, etc, especially with him being an ex-corpus on the run, his opinion on them would be interesting. The Syndicate leaders or some other schmuck could talk about their respective syndicate's modus operandi and raison d'etre. What and who do they stand for? Their ideology, their goal, etc.
Even the Lotus could provide us with the most basic information about the state of the world we just woke up to. What are the Grineer, the Corpus, the infestation (without ruining spoilers for future quests). And speaking of spoiler heavy quests, after you complete those 2 or 3 specific quests, then the information available to us would be expanded and the Lotus would be willing to share more, thus unlocking more dialog options on her dialog tree when we talk to her.
And, forgive my most probable lack of knowledge in regards to the production aspect of such an endeavor of DE's behalf, but i think all you need is to write the dialog for those characters, record them, and implement them into the game proper. The writing, heck, even I can do it in like, a week. Voice actors, already available as far as i know. The most complex part of that would probably be the coding and scripting of the dialog's integration into the game.
Anyway, the game, with it's incredible lore and story could very well benefit from such an improvement.