Not a direct answer, but this paper indicates considerable differences between packing densities of ellipsoids and spherocylinders, for both random and ordered packings. So, under one interpretation, the answer to your question, "does anything change?" is Yes. (But perhaps that's not what you mean by "anything.")
- Li, S., Zhao, J., Lu, P., & Xie, Y. (2010). Maximum packing densities of basic 3D objects. Chinese Science Bulletin, 55(2), 114-119.
Abstract. Numerical simulation results show that the upper bound order of random packing densities of basic 3D objects is cube (0.78) > ellipsoid (0.74) > cylinder (0.72) > spherocylinder (0.69) > tetrahedron (0.68) > cone (0.67) > sphere (0.64), while the upper bound order of ordered packing densities of basic 3D objects is cube (1.0) > cylinder and spherocylinder (0.9069) > cone (0.7854) > tetrahedron (0.7820) > ellipsoid (0.7707) > sphere (0.7405); these two orders are significantly different. The random packing densities of ellipsoid, cylinder, spherocylinder, tetrahedron and cone are closely related to their shapes. The optimal aspect ratios of these objects which give the highest packing densities are ellipsoid (axes ratio = 0.8:1:1.25), cylinder (height/diameter = 0.9), spherocylinder (height of cylinder part/diameter = 0.35), tetrahedron (regular tetrahedron) and cone (height/bottom diameter = 0.8).
Just for fun, here's a nice image of two different random spherocylinders packings, from: Ferreiro-Córdova, Claudia, and Jeroen S. van Duijneveldt. "Random packing of hard spherocylinders." Journal of Chemical & Engineering Data 59.10 (2014): 3055-3060.
[![Fig][1]][1]