Well, one problem would be 11. Bc1 intending 12. a4 and 13. Ba3.
Another problem is after your 11. Bb2 white has the very natural plan of h2-h4-h5 Ng1-f3-g5 then sack sack mate. That might not work against a comptuer, but it could be jolly tricky for black to defend against.
Black's light squared bishop is pants and it can't go to g6 via d7 and e8 because there's a pawn there already. The other role it might have going to a4 via d7 leaves e6 chronically weak.
I think it's just a bit harder for black to play than the other lines available.
I'm looking at the French line 1. e4 e6 2. d4 d5 3. Nc3 Bb4 4. e5 c5 5. a3 Bxc3+ 6. bxc3 Ne7 7. Qg4 O-O 8. Bd3 and I wonder why 8. ... c4 is not played here at high level:
The most played move is 8. ... Nbc6, but this allows 9. Nf3. It is too late to play 9. ... c4 because now white has the deadly move 10. Bxh7+.
If after 8. ... c4 white wants to remain active they must play something like 9. Bh6 Ng6 10. Bxg6 fxg6 11. Bd2. I wonder what's wrong with this position for black, so that it is avoided at high level: