Thanks for the details. I can see why this is frustrating.

I am going to separate what I know from what I still need to check. The skill does not sync your writing profile across channels by itself. It uses the text, files, exports, or authorized connectors you choose for that run.

Try the rewrite again with the source sample you meant to use. If it still looks off, send the draft, the sample type, and any evidence the claims should follow. I will help narrow it down.
