RALEIGH, N.C. — A month after President Obama announced people could keep insurance policies slated for cancellation under the federal health overhaul, the reversal has gotten a mixed response from insurers, state regulators and consumers.

Many consumers complained in October and November after insurers notified them that their plans were being canceled because they didn’t cover pre-existing conditions, hospitalization, prescription drugs or seven other basic benefits required under the law. In pitching the overhaul, Obama had long promised people who liked their policies could keep them.