Yes, they do come in bigger sizes, but as others have said, they do not tend to be huge as a rule. Most of the ones we had were about 14.3. They are so tough with tons of stamina and were bred to pack riders across sand deserts and the rough mountains of Arabia for days.
Regardless of the breed, since I don't hunt or jump, I have never found the need to have a horse over 15 hands and find that many of the bulky muscle bound horses that go out for a days work wear out faster than some of the not so bulky ones. The only time we needed a fairly large horse for ranch work was if the guys had to rope a big cow or some fairly good sized stock, but that was not often and there are other ways to handle the cattle without having to have a 1300 pound horse.
We found that the 'middle of the road' built horses had more athletic ability too and were actually quicker than the big bulky ones that the neighboring ranch used. We just found that sometimes 'less is more'.
Just edited to note that I believe that much of the Russian stock was originally from the Polish horses stolen during the war, that refused to be returned after. So they are probably much the same 'type'.
