Training, search and user fetches are different decisions
AI training crawlers collect pages to train models. AI search crawlers index pages so AI answers can cite and link to you. User-triggered fetchers read a page because a person asked an assistant about it. Classic search crawlers build search engine results, and link preview bots build the card when someone shares your link.
The point most people miss: blocking a training crawler such as GPTBot does not remove you from AI answers. Blocking an AI search crawler such as OAI-SearchBot can.