What types of EDS are associated with pain or chronic pain?

Certainly Hypermobility EDS (type III). Probably for some people with Classical
EDS (type I and II). Back pain with scoliosis in Kyphoscoliosis EDS (type VI). Joint pain and early degenerative arthritis are part of EDS type VII. Answered by Peter Byers, MD

"The present study indicates that chronic, frequently debilitating pain of early onset and diverse distribution is a constant feature in most individuals affected with different types of EDS." Functional impacts of chronic pain were; sleep, sexual functioning, social relations, physical activity, school or job functioning. Although individuals with Vascular EDS seemed to have a substantially smaller number of painful locations as compared to individuals with Classical and Hypermobility types. Because EDS is relatively rare, so systematic study of pain in this population or its relief has been performed. EDS should be considered in the differential diagnosis of chronic musculoskeletal pain." (Sacheti A. et.al.