Danish Gambit Declined move order: 1.e4 e5 2.d4 exd4 3.c3 d5 4.exd5 and nextmove Black can choose between 4...Qxd5 and 4...Nf6. The choice looks like the choice in the Steiner variation (alsonamed "Staunton" 's variation in Kuligowski Encyclopedy of Chess Games).

Steiner variation: 1.e4 e6 2.c4 d5 3.cxd5 exd5 4.exd5 and now the choice: Qxd5 in old games like Paulsen-Kolisch, London 1861 and Nxf6 in more modern games.
I finish the line for transposition in the Exchange: 4...Nf6 5.Nc3 Nxd5 6.d4 (White can use the fact he has not moved the d-pawn with 6.Nf3!? with the idea d4-Bc4 - MCO ... and I add you can try 6..Nxc3 to play of Grunfeld like line without e-pawns)

One Petrov move order is: 1.e4 e5 2.Nf3 Nf6 3.Nxe5 d6 4.Nf3 Nxe4 5.d3 Nf6 6.d4 d5 where White has chosen to play Nf3 and Black played Nf6. If 7.c4 Black can play various moves Nc6,Bb4 (path to the Danish Gambit Declines) c6, Bg4 or Be7 (the simple way to blocus 
on d5 and common fight vs d4 isolated pawn, because 8.cxd5 Nxd5 9.Nc3 oo 10.Bc4 Be6 = Suetin or 8.Nc3 oo ).

Sometimes White can choose the Morphy's way to get an opened game with: 1.e4 e6 2.d4 d5 3.exd5 exd5 4.c4!? Bb4+ 5.Nc3 and now if Black doesn't want to play with a queen on d5,then Black has to play 5...Nf6 (maybe better than Ne7 because Black has a quick check on e8 ) 6.Bd3 (main goal is to play Nge2) oo 7.Ne2 (7.Nf3 then comes the check 7..Re8+ 8.Be3 Nbd7 9.oo Nb6) dxc4 8.Bxc4 Nbd7 9.oo Nb6 10.Bb3 c6 = Strzelecki-Schmidt, Varsovie 1990 Watson)

About the Kindermann's game (given in one of last Psakhis's book s about the French? ),  the alternative: Qe8!? (instead of Qb4) occuring in the simul game Kasparov-Bukal,Zagreb 1994 (Neven) has same advantage as Qb4 (threat Bb4, exchange queens if bishop Be3 moves).

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I agree, and I think that it is sufficiently unbalanced after 2. c4 or 2. Nf3 Nf6 3. c4 that the stronger player can expect to win.  Another point is that White in this way can insist on a more or less open position, which may not be to the taste of every French player.  Obviously, White should not play this way unless he likes IQP positions, but if I correctly recall my Tarrasch  , "wenn mann niemals einen isolierten Damenbauer haben will, er muss nicht Schach spielen."

Yes, 13...Nb8 is over ambitious at best, still both Nge7 or Bd6 seems to leave white with a comfortable edge. He can try Ne5 or h4 and lots of other slower ideas since black has no counterplay. 13...f6 may be best, but this can't be what black was aiming for with 9...Qb4, can it?  ???

As far as I can tell, 11.a3 is definitely better than 11.Nh4 or 11.Ne5 which are mentioned in the books.

I'm a bit perplex about a line in the exchange french (see game below). After 9.0-0-0 Qb4, (9...f6 is probably better), 11.a3 seems extremely natural and strong, still it has hardly been tried, while gurus like Mikhail Gurevich has played the black side... 

But isn't white just at least better after 11.a3 Qa5 12.Qb5 Qxb5 13.Bxb5, ?? And what's the point of Qb4 if the most natural move gives white an advantage??

Neither Watson nor Psakhis mentions 11.a3 though...

Mueller,K (2520) - Kindermann,S (2540) [C01]
TCh-AUT (3), 2003

1.e4 e6 2.d4 d5 3.exd5 exd5 4.Nf3 Bg4 5.h3 Bh5 6.Qe2+ Qe7 7.Be3 Nc6 8.Nc3 0-0-0 9.0-0-0 Qb4 10.g4 Bg6 11.a3 Qa5 12.Qb5 Qxb5 13.Bxb5 Nb8 14.Ne5 f6 15.Nxg6 hxg6 16.Bd3 Ne7 17.h4 Nd7 18.Ne2 f5 19.g5 Nb6 20.Nf4 Kb8 21.b3 Nbc8 22.Rde1 Nd6 23.f3 Kc8 24.Bf2 Kd7 25.Kb2 c6 26.Bg3 1-0

Any ideas how to justify 9...Qb4  ???

I suggest you study the games of Miezis in this line. He's the only GM who play this regularly as white - but via 1.c4 e6 2.e4 d5 3.ed5 ed5 4.d4. With a rather nice statistic as well, drawing quickly against really strong players and picking blueberries the rest of the time. 

If one is strong enough, any reasonable opening will suffice...

After 1.e4 e6 2.d4 d5 3.exd5 exd5 4.c4 Nf6 5.Nc3 dxc4 will white's isolated d-pawn turn into a weakness or an attacking force?