This could also be (at least partly) a reaction to Microsoft threatening to pull OpenAI's cloud credits last year. OpenAI wants to maintain independence and with compute accounting for 25–50% of their expenses (currently) [2], this strategy may actually be prudent.
[1] https://www.cnbc.com/2025/01/03/microsoft-expects-to-spend-8...
But to answer your question, no they aren’t even profitable by themselves.
[0] - https://arstechnica.com/ai/2025/01/china-is-catching-up-with...