> I'm definitely not a lawyer/expert on this, even less about Germany specifically, but isn't actual financial damage required for financial compensation? While Stockfish might have suffered damage from ChessBase's behavior, if it can't be clearly specified as monetary damage, I don't really see how they could make money from this.

In the US there are statutory damages for copyright infringement ($50k per act of infringement, tripled if wilful) so you're entitled to that much without having to prove any actual damages.