Friesian Heritage Horse or FSHR...?

As the excited new owner of a lovely young Friesian cross mare, I am working on getting her papers transferred to my name. She has FSHR papers but it seems hard to find anything about them, but Friesian Heritage Horse & Sport Horse Intl is easier to find out about. Any they replied back to me very fast about transferring her papers to FHH instead of stay FSHR.

Since she’s crossbred (came from Amish country) I know “papers” is kind of an open term. But is FHH a more reputable registry than FSHR? I will be doing dressage & Working Equitation with her and don’t plan to breed - though plenty of people think it wouldn’t be a bad idea, lol.