I don’t think you understand the TB industry as well as you think you do.
Yes, breeders do, in this case, have a “focus” on minimizing inbreeding. That’s one reason why Rich Strike is very unlikely to get quality mares. You seem not to understand the difference between having linebred horses and a stallion that is 2x3 to Smart Strike.
Why the sire and dam of Rich Strike were even mated is a mystery to me.