The consumer will be free to choose what they demand from their tooling. If consumers decide that they only want to use generative AI that does what you propose

The consumer will be free to choose what they demand from their tooling. If consumers decide that they only want to use generative AI that does what you propose, they’ll vote with their wallet. If they decide to use other ways of checking for IP infringement, they will. If they choose to ignore the issue, IP owners will bring up violations, like the NYT did. “Buyer beware” has been a motto since ancient times.