(I also should mention though, that I'm one of those who feel listening at unnaturally low levels, while sometimes unavoidable, does constitute its own form of distortion that renders reproduction less lifelike. Of course the same thing goes for listening too loud as well.)
I would think most speakers are designed for accuracy at the realistic listening volume. I remember talking to John at Ohm Acoustics many years ago about the different models he had back then and he said that he has this particular model that sounded really good a low listening volume. He also said that he did not understand why this was so, he not intentionally designed it to do that, but it also sounded good at realistic levels. I do not remember the model, but it was not a Walsh and I doubt if it's being made at this time.