Here are my pic comparisons:
one of my Grand Prix coats (wool)
New(ish) Grand Prix coat (technical fabric)
Older Grand Prix coat (technical fabric)
Can't remember the brand - maybe Pikeur (not wool, not technical)?
grey Animo pic 1, pic 2, pic 3
I find that my Animo looks more structured and flattering by a long shot than any other coats (on me)....Grand Prix, GPA, etc. But I can't address your comment about dressage versus jumper coats. All I know is that my Animo is super comfortable, flattering, and by far my favorite coat. I've worn it for two full seasons, washed it after every show, and it still looks brand new. So it's held up well despite a fair amount of use. I don't regret spending $700 on it for a second. In fact, I think the Animo products are so well made that I just bought a pair of $400 white breeches at my last show because I'm tired of my Tailored Sportsman, Ariat, and Grand Prix white breeches looking awful after one season. I also noticed that each time I saw a coat or a pair of breeches I thought looked really nice (as in high quality and well made) at shows this summer, they were almost always Animo.....generally this was during the course walk, so getting an up close look and not while on a horse, FWIW.
There are a bunch of other technical fabric coats out there. I think like with everything, you just have to try on several to figure out what looks best on your body. I personally dislike the shape of the GPAs and Grand Prix coats (despite owning many of them) compared to the Animo coats. But I haven't tried on the Arit Triumph or the Equiline ones in person. I saw an increasing number of Spooks brand coats this year too, but I don't know if they make dressage coats or only jumping coats.