I agree it won't work, albeit for an entirely different reason. There has been a shift towards labelling AI generated or AI assisted content by those who aren't attempting to mislead. Those who are attempting to mislead won't.

As for AI assisted edits, the article is quite clear about the labelling covering AI generated content. If you "hire" the AI as an editor by asking it to check your grammar or point out weak arguments, then do the rewrite yourself, it almost certainly wouldn't be covered. It sounds like it wouldn't be covered if you asked it to apply edits for style either, just be sure to log the changes since it would clearly be in an AI's voice.