I am not certain, but if the Quad 57 is curved at all, it is curved in the vertical plane, not in the horizontal plane. And anyway, Sound Lab ought not to claim to be the first to curve an ESL in the horizontal plane, because Martin-Logan did it first with their flagship CLS model, albeit in a problematic way. (They used curve stators with the diaphragm suspended inside a curved "sandwich"; thus when the diaphragm moves toward the listener it wants to stretch, when it moves away from the listener, it is looser than in the rest position.)To be fair to SL, I doubt they ever did claim to be the first to curve an ESL. Sound Lab uses flat facet segments arranged in a curved array, thus avoiding the inherent issue with the M-L CLS but also perhaps fairly described as not a true curve.. Also, "ESL" is a generic acronym for ElectroStatic Loudspeaker. In my lifetime, I never heard the Quad 57, so numerically named for the year of its introduction, referred to as an ESL57, but I certainly can be wrong on that. We just say "Quad 57".
On the "line source" descriptor, it was my impression that Peter Walker incorporated time delay into electronics mounted inside the speaker so as to create the radiation pattern of a point source, not a line source. Again, I would be happy to be corrected if that is bad info. Whether that was a good idea or not is also open to question.