It can never work. If it ever did work, it can be put into an adversarial training loop to make it stop working.

Where's the boundary, though? If someone generated slop but edits every sentence replacing at least half the words and ensuring it is in their voice consistently, does it still need the badge? If only one word is replaced but it corrected the hallucination and is otherwise reviewed for approval? If dice are rolled and the x'th word of the y'th sentence chosen for replacement?

I don't justify starting with slop in my own writings but I don't know whether you could even reliably label it appropriately. Even more so, it would be a shame to see genuinely human writing mischaracterized as genAI, especially in a public forum like LinkedIn.