Can coolsculpting be used on a patient with Ehlers Danlos syndrome hypermobility type?

I have hypermobility type Ehlers Danlos syndrome (HEDS) a genetic collagen disorder that causes my soft tissue, mainly ligaments, to be plastic and not elastic. I would like to use cool sculpting to lose the the couple inches of subcutaneous fat I have in my belly and upper back. The excess bugle askly causes me extra pain due to myofascial pulls. Would cool sculpting be bad for me with respect to the HEDS? EDS doctors have no clue if this would be a bad idea. Thanks