They didn’t just deny the allegations. They called the case baseless. The case is clearly not baseless, in the sense that there’s at least enough of a basis that the court didn’t vacate the order to preserve the chats.
It seems to me that the discussion of whether or not it is spin has turned into a discussion of which party people basically agree with.
My personal opinion is that OpenAI will probably win, or at least get away with a pretty minor fine or something like that. However, the communications coming from both parties in the case should be assumed to be corporate spin until proven otherwise. And, calling an unfinished case baseless is, at least, a bit presumptuous!