Did you consider that the website made it up and fed it to ChatGPT?
It sounds like a bundle of very common SEO tricks combined with the differential between your human user agent’s visit.
Perhaps ChatGPT only showed you what the nursery told it about.
This phenomenon is not unique to LLM. If you telephone a store, chances are that the salesman who answers the phone will tell you only what you want to hear. They don’t even strictly need to lie. The store only wins if you drive there and walk in the door. Why should they discourage you from doing that very thing?
This concept was driven home to me at the dry cleaners. Why should a dry cleaner stop work and answer the phone, only to tell a customer that their batch isn’t ready? They just got taken off-task for a non-revenue interaction. It doesn’t matter, because even if the customer’s batch is ready, they aren’t there to pay and pick it up!