Can I stop AI companies from training on my website without disappearing from ChatGPT?

Yes. Tick "Don't let AI companies train their models on my site" under AI assistants in Settings → Search and redirects, then tap Save.

Only crawlers that collect training data, such as GPTBot, ClaudeBot and Common Crawl, are turned away in your robots.txt. ChatGPT, Claude, Perplexity, Google and Bing can still read your site to answer customers and send them to you, because their search crawlers are separate.

It's off by default, because being known to AI models is part of being recommended. The same section is where you list your licences and certifications, which AI assistants and Google read as facts about you.