Anthropic is not profitable and does not expect to be revenue even until 2028. They are just losing less billions per year than everyone else.
By which metrics Anthropic is making a lot of money.
They have something like 70% margin on inference.
You can quibble about the exact numbers, but I think it’s fairly clear at this point that inference is profitable with decent margins. Like you say, unit economics are more interesting than the profitability of the company as a whole.