Let me add that saddle fit is HUGE in Ponies. Most common in under 14h as the saddles simply are too long for the Pony back and the cantle digs into the spine over the loin or just behind it. Particularly with bigger kids who need the bigger seat. Top of the line Large can take that up, small Larges and Mediums with taller kids riding seem the most prone to it. They’ll drop when palpated right under the cantle and display most of that KS symptom list. Lots of stops too but maybe not for every rider.
Sometimes a rider that lands heavily can really aggravate that while a lighter seated rider doesn’t get as much reaction. OP doesn’t mention how big this Pony is and no idea how many Pomies are afflicted with KS but I would sure look at the back of that saddle and the rider, especially if she is a bit big for a Pony , as a cause of that behavior in a Pony.