Anebel, I don't know where else in Europe you have been besides the 5 days in Germany with a member of this forum who lives there, but I can assure you that Friesians are now more and more bred away from the impressive cart horse they originally were towards light riding horse with the gaits and conformation along with it.
Drafts, especially Clydesdale and Shires are more and more ridden, trained and exhibited in dressage. Go to any decent horse fair and you will see them, under saddle, in different disciplines, mainly dressage.
And not all warmbloods are built for dressage either. It all depends on the individual.
And even if they have the conformation, there is still no guarantee that they hold up. 10, 20 years ago it was normal seeing an 18 year old horse competing at highest levels and being, from what can be seen, sound. Today this is more and more the exception.
We noe have the throw away society, even for horses. I cringe when I see a 7 or 8 year old compete in grand prix.