I mean copyright law is one thing, I’m asking more like … does daz output some info into the render that identifies you? Or that shows if who purchased the asset or not.
To my knowledge, there is no such metadata contained within render images that could identity which assets are used. The Daz ToS states that anything you want to do with rendered images is fair game, including monetization, presuming you have purchased the assets in the first place. If you were to put a paid game on Steam using assets that you did not purchase, it
is possible that an asset creator could play your game, notice their assets are being used, and reach out for verification, and if you could not provide verification, it's possible they could request your game get pulled from the store. However, that's very unlikely, because asset creators are probably not browsing the store and playing random adult VN games to check for their own assets, unless they are very petty. I personally have never heard of such a thing occurring.
tl;dr Don't go around yelling about how you did not obtain assets legitimately for your game and you should be ok.