Interesting but 4. Bd3 is the wrong move. I may be wrong, but it seems to transpose into a poor version of the Rubinstein Variation. I play 4. e5 Nfd7 5. f4 now I've got used to being able not to castle kingside (rather than 4. Bd3) and I get a good game from it.
It looks like 11. Nxf7 might lead to more than Qxa8 by the way
I've never played the Tarrasch against the French before, had a look at a few DB games and decided to give it a try. In my 1st game, I stumbled upon this 'trap'(?)