Li Shenron
Legend
It possible that either the PH and/or DMG will have Basic FR material since that seems to be the default setting of 5e.
The question is... what is "basic FR material"?

Following 3e (poor) treatment of Greyhawk as default setting, it would be quite easy to include ~20 FR religions, which is a start, but FR is such a huge setting with all the groups and organizations and NPCs working with/against each other, that just mentioning a few of them isn't going to deliver the 'feel' of the setting.
You can include a huge map of Faerun in the DMG, but it would serve no purpose because it's so huge that it has little impact on the adventures at the PC's scale... at least you'd need to say something about the many regions of the world, each of which has its own traits and feel, and can be itself the setting for a whole campaign.