Terminology:
CloudHealth collects the Amazon Name through the Organization API (product updates page) and will update the Amazon Name if it changes in AWS. The platform needs read access to the account (Healthy or Warning status) to pull the Amazon Name via API.
The Cost History report will use the “Amazon Name” unless the “Account Name” field is updated to something else so if no action is taken, the Cost History report will show the Amazon Name.
Here are the available Organizations API values:
"organizations:ListAccounts", "organizations:ListTagsForResource", "organizations:DescribeOrganization",