It could play out like the Live Another Life mods, in that you are placed in an appropriately lore friendly area with appropriate items.
The first would be a racemenu like Skyrim, wherein you make your character, and then begin the game. What I'd like to see is these added into the game, as viable options. Console commands exist already to turn us into robots, ghouls, synths and mutants. What I would like to see is a more intuitive utilisation of Skyrim's race playability.
You are essentially locked to the vanilla character - even if you pretend that your character has completely abandoned their old life and family, you can't escape the voiced dialogue telling you otherwise when you progress through the story. In FO4, once you beat the game as Nate, you try again as Nora, or vice versa, and go with a different faction. When you kill Alduin, end the war, and steal everything not nailed down, you can start again, with a new character, with a different race, playstyle and backstory. One of the greatest strengths Skyrim has over Fallout 4 is the replayability.