In 2013, 61% of high deductible health plan enrollees

...were "extremely" or "very" satisfied with the quality of care they received, compared with 67% of consumer-driven health plan enrollees and 68% of traditional health plan enrollees.

Source: "Satisfaction Gap Narrowing Between Traditional and Consumer-Driven Health Plans," Employee Benefit Research Institute (EBRI) Press Release, August 13, 2014, http://www.ebri.org/pdf/PR1091.CEHCS.13Aug14.pdf