They are NOT recognized by APA. A group of us breeders looked into what it would take to get SFH recognized by APA so they could be shown, it was...problematic. The biggest issue I recall is that APA wanted a base color. Well. There isn't a base color. They are all different. I have black ones, red ones, white ones, etc, and while they all share distinct breed characteristics, feather color is not one of them.
But I have seen people show them in AOV and showmanship classes, where they can do well.
I do not show mine, but my sons were asking if maybe we could select some for show next year. The problem I see is they do NOT like being confined and do much better if they free range, just because they are very active and curious.
I'm planning to start saving eggs for this in 3 days..my plan is to see how my SFH are laying (assuming the incubator doesn't act up and the kids don't take the top off, like they did last time...) and hopefully get some chicks that are ready to lay in May or young roosters to sell.
All land race chickens have that issue with color. You would have to pick a few base colors and do them all at once. Showgirls are having an issue with the bearded/nonbearded. It's hard to tell especially the mutton chop ones.