In contrast to the dire pronouncements from President Trump and other Republicans, the demise of the individual insurance market seems greatly exaggerated, according to a new financial analysis released Friday.

The analysis, by Standard & Poor’s, looked at the performance of many Blue Cross plans in nearly three dozen states since President Barack Obama’s health care law took effect three years ago. It shows the insurers significantly reduced their losses last year, are likely to break even this year and that most could profit — albeit some in the single-digits — in 2018. The insurers cover more than five million people in the individual market.

After years in which many insurers lost money, then lost even more in 2015, “we are seeing the first signs in 2016 that this market could be manageable for most health insurers,” the Standard & Poor’s analysts said. The “market is not in a ‘death spiral,’ ” they said.

It is the latest evidence that the existing law has not crippled the market where individuals can buy health coverage, although several insurers have pulled out of some markets, including two in Iowa just this week. They and other industry specialists have cited the uncertainty surrounding the Congressional debate over the law, and the failed effort two weeks ago by House Republicans to bring a bill to the floor for a vote.

The House G.O.P. leadership went home for a two-week recess on Thursday, unable to reach a compromise between conservative and moderate members over the extent of coverage that should be required for the very sick.

If the markets were to falter without a resolution in Congress, the risk of eroding public opinion before the midterm elections next year is bound to increase. The latest monthly Kaiser Health Tracking Poll by the Kaiser Family Foundation showed that more than half of Americans now believe that the president and Republicans own the health care issue and may shoulder the blame for any failings. The survey reported that more than half now support the Obama health care law.

The S.&P. report also buttresses the analysis of the Republican bill by the Congressional Budget Office, which said the markets were relatively stable under the current law, contradicting some Republican assessments of volatility.

“Things are getting better,” Gary Claxton, a vice president at the Kaiser Family Foundation, said of the insurance markets. The foundation has been closely tracking the insurers’ progress.

Although it took longer than expected, the insurers appear to be starting to understand how the new individual market works, said Deep Banerjee, an S.&P. credit analyst who helped write the report. The companies have aggressively increased their prices, so they are now largely covering their medical costs, Mr. Banerjee said. They have also significantly narrowed their networks to include fewer doctors and hospitals as a way to lower those costs.