In de Vries smectic liquid crystals the transition from the orthogonal smectic A (SmA) to the tilted smectic C (SmC) phase occurs with essentially no decrease in smectic layer thickness. This unusual behavior is commonly explained assuming a 'hollow cone' or 'volcano-like' orientational distribution function (ODF) of rod-like molecules in SmA and the transition to SmC being a pure disorder-order transition in the molecular tilt directions. However, even after 20 years of extensive investigations, the experimental confirmation of this ad-hoc model is still inconclusive. While optical and electrooptic studies of many de Vries smectics can be readily explained with the hollow cone model, X-ray diffraction studies as well as many polarized Raman spectroscopy studies support a broad Maier-Saupe distribution of a sugarloaf-like shape. We review and summarize X-ray, electro-optic and polarized Raman spectroscopy results on the orientational distribution functions in the SmA phases of materials claimed to be of the de Vries type and discuss how seemingly contradicting findings can both be true at the same time. Optical properties are governed by the order of the aromatic core, whereas X-ray diffraction essentially probes the order of principal molecular axes. In molecules where the core is far from collinear with the long molecular axis, the cores may exhibit a volcano ODF while the molecular axes exhibit a sugarloaf ODF.