I asked both ChatGPT 4.o and Gemini (free version) about my website without giving it a URL by prompting "Tell me about Hydro Home Gardener" and here are the images I got from both. I'd say if Google uses Gemini for searches then they will have a problem. It is also a good way to find out if a model has accessed the website. The third one is from GPT 3.5 in an Incognito Browser.