No, general joint hypermobility is not the same as HMS, but it is part of it! HMS is more than just joint hypermobility. If you have a look at the start of this thread you will see the diagnosric criteria for HMS/EDS-H. It is includes the Beighton score which is a series of tests for hypermobility on some joints, the little fingers, elbows, knees, wrists and spine. The presence of joint hypermobility, or the history of it depending on age, is what is being scored.
On it's own, joint hypermobility, also called double-jointedness, affects up to 20% of our population, and for the majority of people it does not cause any problems and can be an advantage, but for the minority like us it can be part of HMS.
Some Drs can recognise hypermobility, but are unaware of HMS and how it can affect people.
Hope this helps
Diagnosed HEDS December 1st 2005. DD1 (20) HEDS and scoliosis (now corrected by surgery), diagnosed June 2006. DD2 (18) mild HMS. Son (11) some hypermobile joints, poor muscle strength and seems to be developing scoliosis as well, woopee!