You will notice the cut of the saddle in the magnificent photo of the Spanish Riding school. In the displays the riders use this traditional Spanish saddle - and I suspect that it is from this design that the modern treeless saddle has been copied. The impressive Spanish display saddle is hand made in SPain to fit horse and rider. The horses are always highly bred, very carefully selected Andalusian stallions - and it is rare indeed that one is allowed to be exported from Spain.
There are very few women in the Spanish Riding School of Equestrian Art in Jerez, Spain. It is tradition for the riders to be male.
The Spanish Riding School in Vienna uses Slovenian horses - the Lippizaner
And the riders are mainly Austrian but the displays for the tourists are very similar. The techniques are after all the same.