  Many recent integral integral field spectroscopy (IFS) survey teams have used
stellar kinematic maps combined with imaging to statistically infer the
underlying distributions of galaxy intrinsic shapes. With now several IFS
samples at our disposal, the method, which was originally proposed by M. Franx
and collaborators in 1991, is gaining in popularity, having been so far applied
to ATLAS3D, SAMI, MANGA and MASSIVE. We present results showing that a commonly
assumed relationship between dynamical and intrinsic shape alignment does not
hold in Illustris, affecting our ability to recover accurate intrinsic shape
distributions. A further implication is that so-called "prolate rotation",
where the bulk of stars in prolate galaxies are thought to rotate around the
projected major axis, is a misnomer.
