Earlier quoted context omitted.
They said themselves that even inference is losing them money tho, or did I get that wrong?
On their subscriptions, specifically the pro subscription, because it's a flatrate to their most expensive model. The API prices are all much more expensive. It's unclear whether they're losing money on the normal subscriptions, but if so, probably not by much. Though it's definitely closer to what you described, subsidizing it to gain 'mindshare' or whatever.
Perhaps their training cost and their current inference cost is higher, but what you get as a customer is a more expensive product for what it is, IMO.