We've had a HD plan for awhile now but ours is PPO. It means we don't have to select a primary care doctor and we don't need to get referred to see other doctors and specialists.
Our preventive care is covered 100% and we pay nothing out of pocket.
(It has always been this way, and not a new thing due to the ACA.)
For other care, including prescriptions, we're billed the amount contracted with insurance. Insurance pays nothing until the deductible is met.
After we pay out-of-pocket to the amount of our deductible, then insurance will pay 80% in-network and we'll have a 20% copay, until the point we reach the Maximum OOP amount. Then insurance would pay 100%
We never reach our deductible, so something huge would have to go down before we'd reach the 100% coverage mark.
We pay less than $100/mo in premiums for family coverage but our deductible is $6400. Our HDHP qualifies for an HSA, which we use to save money tax-free each payday. The money and the account belongs to us, even if the insurance or job is lost. (HSA money can also be used to pay chiropractors, acupuncture, vision, dental, etc.)
Previously, we had an FSA. An FSA is an option that an employer can choose to offer, but it is your money that funds it. Tax free money, but lost if you don't use it up each year.
The HSA money is the thing that 'rolls over'. Actually, it doesn't roll at all, it just continues to build up as you save into it. It's yours to keep for always, but using it for non-qualified stuff will have a penalty.
(There are also HRA plans, where the HRA money does roll over. You lose it when you lose the job or insurance though. The money belongs to the employer.)
Edited: I had mistakenly quotes HSA contribution limits as HSA-qualified deductible amounts. Kristine was right, your plan does have a high enough deductible.