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I’m not sure it matters in Anthropic’s case that much - even people who use Anthropic models rarely think of the company as “Anthropic”. Their Claude brand is very strong, so much so the website is https://claude.ai etc, and you commonly see discourse about the company’s models where the name Anthropic never even appears. It’s Claude, Claude, Claude all the way down.

Claude has impressive mindshare in many engineering disciplines too, and given how many open source projects are a play on its name I’m not sure I’d argue it isn’t catchy either. Certainly rolls off the tongue easier for me than “chatGPT” does, which even Sam Altman their CEO agrees is an awful product name they are stuck with.