Droves of people signing up for health insurance this weekend may not re… . FILE – In this Nov. 17, 2014 file photo, Health and Human Services Secretary Sylvia Burwell talks about our community’s preparedness ahead of the second open enrollment in the Health Insurance Marketplace during a visit at F… WASHINGTON – Thousands of people signing up for health insurance this weekend may not realize it, but their coverage under President Barack Obama’s law could be short-lived.