hEDS - Hypermobile Ehlers-Danlos Syndrome, I think. "Hypermobile Ehlers-Danlos syndrome (hEDS) is a heritable connective tissue disorder that causes generalized joint hypermobility, joint instability, and chronic pain."
HSD - Hypermobility spectrum disorder. "Hypermobility spectrum disorders are a group of heritable connective tissue disorders where joints are flexible enough to cause problems such as instability and pain."
In practice HSD was an evolution away from benign hypermobility so it’s generally considered not to cause issues beyond the physical discomfort.
hEDS is considered too rare and to actually diagnose someone with it would mess up their health insurance for a condition doctors don’t believe can be treated. So they avoid diagnosing it which creates prevalence data that feeds back into the initial assumptions.
My view of HSD is that it is just a milder hEDS and all the other problems still exist even if most are not detectable. Most people spend their lives being told nothing specific is wrong with them and how are they to know better, after all doesn’t everyone get tired from time to time. Because I’m good at stats I was able to figure out that either I’m the unluckiest person ever or there is a common cause.