alt Hacker NewsWatermarking will not flag something you wrote unless the AI rewrote significant chunks of it. AI watermarking works by exploiting the fact that lengthy phrases can be expressed in exponentially many ways, such that the selection of a single sequence from the exponential space is practically unique. For proofreading by contrast, if the AI is only changing isolated words in work that's otherwise yours, there are not enough exponentially branching options for the watermark to distinguish anything.
*Some might see a parallel with the old game Adventure, in which wording differences like "twisty little passages" and "little twisty passages" were used to build a maze of room descriptions, with the same meaning but still distinguishable to the attentive player.
This assumes that a known watermarking algorithm is implemented. To me, unless output starts to include information whether watermark was inserted or not to a result, relaying on such an assumption is risky. If a human editor needed to hide a secret bit of information in the edits, this would certainly be possible even if the edits were small compared to the length of the original texts.