Framing this as some anti-AI thing is wild. The simpler, more obvious, and more evidenced reason for this is that these sites want to make money with ads and paywalls that an archived copy tends to omit by design. Scapegoating AI lets them pretend that they're not the greedy bad guys here — just like how the agricultural sector is hell-bent on scapegoating AI (and lawns, and golf courses, and long showers, and free water at restaurants) for excess water consumption when even the worst-offending datacenters consume infinitesimally-tiny fractions of the water farms in their areas consume.