Medical Sharing Costs Count as High Deductible for Health Savings Accounts?

I am a single employee of a S corp, as well as the President, and I do not have medical insurance, so I use Christian Health Ministries (Medical Sharing) as my MedSharance provider.  I want to contribute to my already established Health Savings Account, but unsure if the restrictions have changed on what qualifications I need to have to make an annual deposit.   In the past, before Obamacare, you had to have a high deductible medical insurance account (don't know why) in order to donate to your own Health Savings Account.   Please advise on the status of the HSA requirements.   Thanks.