@MNb No - I just think that in the position after 1.e4 b6 2.d4 Bb7 3.Bd3 e6, developing the knight (and blocking the route to g2!) is more relevant than gaining space.
If anything, it is an argument that 1.Nf3 is stronger than 1.c4, since after 1.Nf3 b6!? White can play 2.e4(!) and reach Owen's Defence positions rather than English Defence positions, although then after 2...Bb7 he is pretty much obliged to defend the pawn with 3.Nc3, which is perhaps not optimal.
@Michael: I haven't got round to looking at those lines, I'm afraid. My instinctive preference would be for 6.Qe2 but I am not sure about the subsequent play. The line you give does look a bit like a good Advance French for White, though. I really think the bishop is not so good on b7 there - it should be on c8 or d7 to make ...f6 easier!
Really, though, and in the absence of any concrete analysis

my assessment is based on analogy with e.g. the 2.c3 b6 line of the Sicilian, where Black is able to exploit the move order to chop the bishop on d3: 1.e4 c5 2.c3 b6 3.d4 Bb7 4.Bd3 cxd4 5.cxd4 Nc6 6.Nf3 Nb4! (There is a similar line in the English Defence too: 1.c4 b6 2.d4 e6 3.e4 Bb7 4.Bd3 Nc6!? 5.Nf3 Nb4!).
In the line we are discussing here, though, White gets to keep his bishop on the board. Maybe that is a just a subjective preference on my part ...