Uh, No?
- Morrowind had incompatible factions. The Great Houses amongst themselves for instance. Only two sides were involved in the MQ, and only one side was joinable. A peaceful resolution was impossible.
- Oblivion had incompatible factions. Only two sides were involved in the MQ, and only one side was joinable. A peaceful resolution was impossible.
- In F3 again two sides were involved in the MQ and only one was joinable. A peaceful resolution was impossible.
- In F:NV (not Bethesda's quest designs) you couldn't become the leader of all factions involved. A peaceful resolution of the MQ was possible, but again: you weren't leader of all the factions even if you took that path.
- Skyrim had incompatible factions. The Empire vs. the Brotherhood. The Empire vs. the Stormcloaks. The best the player could do to have both The Empire and the Stormcloaks on friendly terms was to broker a temporary ceasefire between the two. Also, in Skyrim two sides were involved in the MQ and only one was joinable. A peaceful resolution was impossible.
I'll tell you what, in fact: FO4 is an improvement. Yay! At least FO4 allows you the choice to side with the other side in resolving the MQ. At least FO4 has more then two sides with somewhat different paths to resolving the MQ between them.
[edit]
Really? I can't.
They would have to break with the BoS codex and get rid of some of it's deepest traditions and beliefs for that. There's enough material there to warrant a whole new game if you'd want to do that properly.
But still, you can slap a sticker on it and still call it BoS, it just wouldn't be the BoS.