It looks like Chat.com is just redirecting to ChatGPT.com and hasn't replaced the brand name (yet.)
If the intention is to rebrand as Chat.com / Chat, the interesting question is whether this commits them to the chatbot-based model of using AI tools. Personally, I think that is something of a mistake – the chat model is fine for now, but it requires too much pre-knowledge to use effectively. The most effective AI tools I've used have more elaborate UIs that help "corral" the created material into more usable formats.