Is it true that an accredited provider is required to publish learning objectives with at least one objective for each topic within an activity AND must provide documentation of the published objectives to the ACCME?

This is false.  There are no accreditation criteria that require the inclusion of learning objectives at all.  There is no requirement for a specific number of learning objectives or that they are published/reported.  Learners should be able to identify the purpose behind an educational activity, however.