Racing bloodlines doesn't mean he can do barrels. You will have to see how he works under saddle. A good barrel horse needs to be able to flex and turn, and move away from pressure, but be fast and agile. Some race horses can and do well in barrels, some are too clunky moving in the turns. Some big horses do grat with barrels, some little horses can blow thru turns and move fast.
Depends on the horse and also depends who does the preliminary barrel work, that makes a HUGE difference.
Just being able to run a pattern on a horse doesn't make it a barrel horse like some think, there is lots and lots of training involved to make a GREAT barrel horse. When I see photos of people running their barrel horses and the head is in the air, nose turned up around the barrels, being yanked around the barrel it makes me cringe. Instead of turned into the barrel, nose down and giving to the bit, hind quarters pushing around the barrel , that's a trained horse.