Half of the Americans who remain uninsured several years into Obamacare are eligible for government assistance in buying coverage, a new survey shows.

In less than three weeks, the Obama administration will embark on the third enrollment period under the 2010 Affordable Care Act, where it faces the ongoing challenge of persuading those who have resisted obtaining health coverage to buy it. About 32 million people, or about 11 percent of the U.S. population, are still uninsured.

By liberal and media acclamation, ObamaCare is a glorious success, the political opposition is fading and the entitlement state has gained another permanent annex. The reality, for anyone who cares to look, is different and suggests that ObamaCare is far more vulnerable than this conventional wisdom.

Joshua Smith, a Rockland County insurance broker, was deluged with questions from clients after regulators said they were shutting down Health Republic Insurance of New York, which was known for having some of the lowest rates in the state.

“It’s been a week of craziness,” said Mr. Smith, who owns Vanguard Benefit Solutions LLC, which enrolled about 75 small businesses in Health Republic’s plans. “Lots of emails, lots of calls, and everybody is nervous about what is going to happen.”

In apparent recognition of the distinct unpopularity of the Affordable Care Act’s Cadillac tax—an excise tax on high-value, employer-provided health benefits—more than 100 economists have signed a letter defending it. As the Washington Post headline about the letter read: “101 Economists Just Signed a Love Letter to the Obamacare Provision Everyone Else Hates.”

Risk corridor data released on October 1 by the administration shows that insurers lost a lot of money on Affordable Care Act (ACA) plans in 2014. The ACA established a three-year risk corridor program to transfer funds from insurers with lower-than-expected medical claims on ACA plans, i.e., profitable insurers, to insurers with higher-than-expected claims, i.e., insurers with losses. Despite administration claims that incoming payments from profitable insurers would cover losses from unprofitable ones, the risk corridor program shortfall exceeded $2.5 billion in 2014. Insurers with lower-than-anticipated claims owed about $360 million, and insurers with higher-than-anticipated claims requested about $2.9 billion from the program.

Stephanie Douglas signed up for health insurance in January with the best intentions. She had suffered a stroke and needed help paying for her medicines and care. The plan she chose from the federal insurance exchange sounded affordable — $58.17 a month after the subsidy she received under the Affordable Care Act.

But Ms. Douglas, 50, who was working about 30 hours a week as a dollar store cashier and a services coordinator at an apartment complex for older adults, soon realized that her insurance did not fit in her tight monthly budget. She stopped paying her premiums in April and lost her coverage a few months later.

The two largest state health insurance co-operatives created as part of a grand ObamaCare experiment have announced they are closing at the end of this year, joining others that have failed and even more that are insolvent and likely to fail.

The Kentucky Health Cooperative announced on Friday it is going out of business and will not enroll new members next year, leaving 51,000 members to find other coverage. It had the second-largest co-op enrollment in the country, garnering 75% of people who enrolled in coverage through the state’s health exchange.

The largest private provider of health insurance policies on Kynect, Kentucky’s health insurance exchange, is going out of business.

The Louisville-based Kentucky Health Cooperative Inc. announced Friday that it will end current memberships on Dec. 31 and will not add new members because of financial problems. It will not offer health insurance plans on Kynect when open enrollment for 2016 coverage starts on Nov. 1.

One of the least-reported substantial policy victories in recent years was stopping Obamacare’s insurer bailout through last fall’s CRomnibus bill. Now we can attach a price-tag to that victory: $2.5 billion. That’s how much taxpayers would have been funneling to President Obama’s insurance-company allies if the bailout hadn’t been thwarted, according to Obama administration officials. Insurers were hoping for $2.87 billion but, thanks to the anti-bailout legislation, which required Obamacare’s risk-corridor program to operate in a revenue-neutral manner, rather than as a bailout, they will be getting only $362 million—the same amount that other insurers paid in.

The health insurance Marketplaces created under the Affordable Care Act have attracted nearly ten million enrollees, including many people who were previously insured by an employer-sponsored plan. The most popular Marketplace plan—the silver plan—has significantly higher cost sharing than does a typical employer-sponsored plan, which may cause patients to reduce the use of cost-saving services that are essential for managing chronic conditions.