Of course statistical graphics, just like statistical calculations, are only as good as what goes into them. An ill-specified or preposterous model or a puny data set cannot be rescued by a graphic (or by calculation), no matter how clever or fancy. A silly theory means a silly graphic.
The Visual Display of Quantitative Information, Part I, Chapter 1 (p. 15), Graphic Press. Cheshire, Connecticut, USA. 1983