Some data points, just to be more precise.
From PTF3:
.. 5 .. Bd7 6 Bd3 Qc7 (or Rc8 when either as above or thinks 7 dc is whites best) 7 a3 c4 8 Bc2 o-o-o etc
.. 5 .. Qb6 6 Be2 Nh6 7 Bd3!? (PTF3) cd 8 cd Bd7 9 Bc2 and then 9 ..Nb4 is 'simple' and =, 9 .. f6 intriguing (he likes this kind of thing

) and 9 .. Nf5 most straightforward when black is meant to be a tempo up on a 'standard' position.
Intriguing as isn't that where Nh6 vs the TMB is liable to end up? But with white having his tempo back of course.
Finally, from DW: the French, 5 .. Nh6 6 Bd3 when one line he gives is 6 .. cd 7 cd Nf5 - apparently very popular, then 8 Bc2 Qb6 9 Bxf5 etc as a popular line.
Not that I fully understand 8 Bc2 there. Anyhow, plenty of related lines

You'd have to study closely to work out how to play them. iirc from the Flexible French, Mosalenko rather likes this pawn structure for black.
Not that there's any sensible reason to reject the TMB. Perhaps this is more interesting if you include 6 a3 a5 then 7 Bd3 Nh6 etc. The TMB is certainly more dangerous than usual in that variation, so some way to sensibly decline would be handy.