But all the open-weight players make money right now. Google (Gemma), Alibaba (Qwen), z.ai (GLM), minimax.io (Minimax) - they all have hosted offers and sometimes closed-weight max versions.
And the fact that the open-weight as well as cheaper tier 2 offers exist both place a ceiling on the prices the SOTA companies can demand - and as far as we know current prices don't even fully pay for inference alone already, at least not for OpenAI.
Are they profitable on their LLM training?
It's not clear. Z.ai is definitely not profitable.