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how then can this horse be registered as pure TB and with Weatherby's?
Bx
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A horse doesnt have to be 100% TB to be registered with Weatherbys, and race.
If you wanted you could put a Welsh A mare to Saddlers Wells (good luck with the nomination!), register it in the non thoroughbred register, and run it in a race, be in flat, jumps or point to point.
Our founding mare was unregistered. She was covered by a tb and her first foal won 27 races. That mare then produced the winners of over 200 races. 2 generations they rpoduced the winner of the champion hurdle, the foals of her foals will be full TBs.