Basically yes. It's a matter of viewpoint, if you consider the bulk connected terminal "source" or that with the more negative potential.
Another point, even a transistor with separate substrate terminal must not necessarily be fully symmetric. I e.g. have Siliconix/LinearSystems SD211 (lateral DMOS), they have separate substrate, but asymmetrical capacitance and voltage rating, probably also different gm when flipping source and drain.
But IC MOSFET cells are actually symmetrical, just look at the design kit documents.