At least the Hanoverian Society recognizes that most oof the production goes to Amateur Sport; which seems to be disparaged in the COTH breeding forum:
Other than some Trakheners, there is no such thing as a ‘full WB’, they are a collection of carefully selected horses from several foundation stocks crossed with the lightest horses commonly available in Europe: Thoroughbreds, Shagya arabians, and crosses. The background is diverse and yes, many, many are not picked up by the Top Sport riders and end up in Leisure rider homes.
I won’t get into the possible shortcomings of the various governing bodies’ selection processes, that is well covered on this board. Suffice to say that if you exclude a population or individual from your competition or registry, that does not mean the value isn’t there.
There have been several well known sires moved to ‘lesser’ registries because their ‘home registry’ would not approve them.
Some traditions go back farther than others as to breeding goals in Europe vs. the US.
As a percentage of total registered stock produced, one Saddlebred like Harry Callahan is a higher statistic than the bred-for registries can claim.
The cross-bred 25% Saddlebreds success was not from a bred-for jumping WB cross on the original SB -no one knows what might have happened if the stallions had been used on riding stock instead of harness stock.
Without top riders, I wonder what level the amateur ridden WBs reach? That is the only rider that has been involved with the SB except in very rare instances; with capable competitive riders, the success rate surprises most people.
Personally I prefer pure Saddlebreds, but I don’t see the negative of using them with WB if one prefers and has a clear outcome in mind where both parents contribute consistently and correctly for your discipline.