H makes wonderful saddles, and yes they come to you (can you imagine a horse fitting room at Madison? Would be amazing, but not in the cards I fear).I can only speak generally as someone who has ordered custom saddles from other “high-end” French saddle brands, but the process is relatively standardized across the industry.
The saddle fitter goes to the horse and rider. They take measurements of the horse’s back and shoulder as well as the riders seat and leg. They will bring “demo” saddles to try on the horse and for the client to ride in to see what they do and don’t like. Then they send this info to the saddle maker for the saddle to be made.
Never seen a mannequin (unless it’s for a shop/booth display), just saddle stands.
I have a good friend who buys only equestrian, from Madison and BH (doesn't care about the bags at all, which is hilarious given their spend). One day I must tag along on a fitting. Very envious of you and your horse!
I think many folks here would love a thread on your experience, if you feel like creating one
