Many people who buy their own health insurance could get surprises in the mail this fall: cancellation notices because their current policies aren’t up to the basic standards of President Barack Obama’s health care law.

They, and some small businesses, will have to find replacement plans — and that has some state insurance officials worried about consumer confusion. …

Also, it doesn’t seem to square with one of the president’s best known promises about his health care overhaul: “If you like your health care plan, you’ll be able to keep your health care plan.”

But supporters of the overhaul are betting that consumers won’t object once they realize the coverage they will get under the new law is superior to current bare-bones insurance. For example, insurers will no longer be able to turn people down because of medical problems.