It's quite a bit more complicated than that. The popular narrative is not exactly on Anthropic, as the general public is far more aware of OpenAI than Anthropic. The narrative is on AI and whether everything we know about society is going to change.
Also, as far as priorities and worries go, for most people cybersecurity is way down the list.
"It's quite a bit more complicated than that."
Ohhh no it isn't! (Ohh yes it is) etc
"as the general public is far more aware of OpenAI than Anthropic"
I run LLMs on my own gear with llama.cpp (compiled from source) and I could not tell you anything about either company except they fiddle with AI stuff and that (I don't actually care). I glaze over on news about both organisations in equal measure on mention.
I think you'll find that the general public would not be able to name either company without being asked to pronounce their name from it being written down.