Anthropic is way more focused. That helps in a way that builds upon another: their product tends to be better and the people's perception of it as well.
But "much less"? OpenAI needs a month or two of good choices, progress & announcements, and that flips. On the other hand, Deepseek could blow both out of the water unexpectedly, ending the argument about who has the superior tech.
There's also the Elon factor. Anthropic has a good relationship with Elon (to the point where he discounted the compute sold to them by quite a lot) while OpenAI/Sama is the devil to him.