ChatGPT, Gemini and Perplexity are separate answer systems, and Google has no documentation on how the other two describe a brand. What the vendors do publish is narrower: how their crawlers work and how their search features show sources. OpenAI's crawler documentation says OAI-SearchBot is used to surface websites in ChatGPT's search features, that sites opted out of it will not be shown in ChatGPT search answers, and that GPTBot, which relates to training, is a separate setting. OpenAI's help article adds that responses using web search may include citations, and that results and citations can be incomplete, outdated or incorrect. Perplexity's crawler documentation says PerplexityBot is designed to surface and link websites in its search results. For Gemini, Google's common crawlers page says the Google-Extended token covers use of crawled content for training Gemini models and for grounding in Gemini Apps, and that it does not affect inclusion in Google Search.
What is not documented is just as important. None of those pages explains how an assistant decides what to say about a particular business, or promises that allowing a crawler leads to a mention. We treat answer engines as probabilistic and changing often, so a single screenshot is an anecdote rather than a finding. Whether crawlers can reach your pages is something you control; how an assistant phrases a description is not something any vendor tells site owners how to control, so a review has to look at the output itself. OpenAI also says robots.txt rules may not apply to ChatGPT-User, which visits pages for certain user actions.
Cultured Digital covers this as the first part of a visibility review: how ChatGPT, Gemini and Perplexity describe you, recorded as what the tools actually said, with prompts and dates.