You do realize that even if you put $ 2,500 a year in a health saving account and had say in $ 7,500 medical need it would take three years to have the cost covered. Then when you've used up the three years savings you are back at zero in the account.  Being more realistic when you can easily face a $ 25,000 in medical bills you will only have to wait for ten years to be able to pay then and still have nothing left for future bills.  

Health Saving Accounts are designed for the person WITH insurance to put away finds to AID in paying out of pocket cost.  They are not intended to replace insurance.  You could read about these plans and find basic information not covered in the talking-point GOP news.