@Dataholic Thanks for reaching out.
Yes, host and Accept-* header will be Omitted as you have shared in the document.
One of the workarounds will be leveraging the azure function and call azure function from logic app.
Now at your Azure function app end you would be calling your endpoint and pass the HOST and Accept-* header and once you got the response from your service you the function will send response back to logic app.
Similarly, you can leverage any other custom service or APIM to offload this functionality of calling your endpoint with the HOST and Accept-* header.
Unfortunately, as of now there is no workaround at the HTTP connector end.
Feel free to get back to me if you have any queries or concerns.
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