Embedded Jira Issue Filter is not working with "styled_view" body of content retrieved from the API

I’ve added a Jira Issue Filter to my confluence page (https://mlaps2.atlassian.net/wiki/spaces/ANIMALS/pages/98305/General+page+about+animals) and it works well.
However, when I retrieve this page via Confluence Cloud API specifying “expand=body.styled_view” in query string for the request, and embed entire content body to my custom page, everything is displayed except the content of the Jira Issue Filter Table.