Just my two cents here.
My trainer teaches strictly French classical; I think this horse was trained in a similar way. It’s more about having the horse carry his weight on the hind end, rather than getting the push from tracking up, if that makes sense. (Balance from movement, as opposed to balance through movement.) It’s all a bit new to me, but instead of pushing the horse forwards, there’s lots and lots of lateral work, shoulders/haunches in, etc. that shifts the weight onto the hind end. Riding a horse trained that way is quite a different feeling. My pony becomes sooooo light, and he responds to just the whisper of an aid. My trainer laughed when I told her it was like riding a fluffy balloon–it felt like floating.
So I think this horse doesn’t look as “through” because he’s sitting a bit more than WBs or horses trained the German way.
This probably doesn’t make any sense but maybe someone with more French classical training can explain it better. I just know that I enjoy riding this way so much more, all of my trainer’s horses are light and responsive and are sound into old age. The horse carries his own weight and the contact is lighter.