Voadam
Legend
That is check with the DM for house rules in general, not that backgrounds were DM granted as a default without house rules. This applies equally to whether you can play a rogue or a dwarf or a Neutral Good alignment or any other element of a character.Page 6
"Your DM might set the campaign on one of these worlds or on one that he or she created. Because there is so much diversity among the worlds of D&D, you should check with your DM about any house rules that will affect your play of the game. Ultimately, the Dungeon Master is the authority on the campaign and its setting, even if the setting is a published world."
The shift of custom backgrounds to the DMG and the framing being a DM only grant is a change, one that I think is worse for the game. It is kind of weird, they took away some of the explicit 14 PH DM default choices for their games (feats and multiclassing as options a DM may or might not allow) but made custom backgrounds the thing to be DM campaign dependent.
I am not sure why you think the specific background combos of narrative, skills, attributes, and starting feat "have a greater potential to fail to meet the DM's setting than feats, races, etc." You have been arguing vociferously at length that the ASI is not significant and will not be noticed except in the most corner of cases, for instance.