I was wrong...it's not Karpov-Zhang Zong  but Hamdouchi-Zhang PengZiang Cap d'Agde 2000.
Psakhis has given many interesting lines in one of hist latest books about French: in French Nd2, he explains system with Qxf6 is now another "main" line besides Nxf6-line. I read it carefully and there are many more ideas, and the main one is "delaying castling for White". For example you can play Bb1!? at once before castling and after Bd6, Qd3 (if Black castles then immediate mate Qh7#), hence Black can play Nb4,Qg6+,Qxg6,Bxg6+ leading to one of many endings with little advantage to White. One Khamrakulov's game (I lost one game in Nxf6-variation vs him at Condom two years ago...he is a good tactical player)  given by Psakhis, is interesting: White doesn't castle and after Black plays Rd8,Nf8 (the system I gave in my last post) then White plays g4!? and then h4. 
Your idea with Ba2 is an interesting try, wich looks like Nc3 move targeting d5 pawn, because in some lines you'll hinder Black e5 pawn push. But, e5-freeing move is only one positional idea, and I recall: Black have to attack White king !! and leaving the "good" bishop on the wrong wing means kingside attack for Black will be stronger (Example: Nf6,Ne4 ; Qf7-Qh5 or Be8-Bh5 as you gave)

Hello,...and welcome on the French forum 
Just one quick reply to begin (I'll post more information later): Qxf6 is one good alternative system to main line (Nxf6). I saw Karpov playing the line as White vs Zhang Zong (?) in Cap d'Agde's rapid tournament, and I must admit first moves are natural for White and Black but after the opening a strategical plan is needed for both sides. The main ideas are: Black doesn't allow White to play positional exchange of dark squares bishop (on f6 square, queen controls important dark squares like d4,f4,e5) but the price are weakened light squares (b1-h7 diagonal), development delay (h6 pawn move, Nd7 must move,...) ; White has done all natural moves and Black has not exchange sacrifice on f3 (in main lines: Rf8xf3 often occurs to destroy pawn structure around White king). Hence, Black has only some ideas after castling: push e5 or move knight on d7 and play Bd7-Be8-Bh5 ; White has to use light squares on a1-h7 (Bc2/Bb1-Qd3) and to strengthen d4 and e5 control (Bd2-Bc3 or Be3). Answering light squares stategy, Black often plays: Rfd8 and Nf8 (Zhang Zong doesn't play like that but Rf7?! )