No, I would like facts, not assumptions. It's definitely not safe to assume they are making a profit, as a whole, or per transaction. It's more complicated than that.
Profit has a strict definition of $revenue - $cost, for a business operation as a whole, which leaves money in the bank at the end of the month.
They could be making more money for a single query than the cost of compute time for that single query, but that may not cover the engineering and idle servers. They could be running at a loss with the assumption that they can improve efficiency per transaction soon. They could be running at a "loss" because they're giving some of the compute away for free right now, to improve the training with the user responses. Or maybe they are making fistfuls of money. "Profitable" has a strict meaning, shouldn't be assumed, and definitely isn't required, at this point in their operation.
I'm very interested to know if they are profitable, at the moment, but I don't think that's been publicly disclosed yet, and I can't find anything. A reference is required.