I know equirectangular rendering CAN be steroscopic, but the version here, is that possible? Or is the steroescopic option the only one with depth perception?
There are two equirectangular rendering modes in the ReplayMod - Equirectangular and ODS rendering. These are accessible using the "Rendering Method" dropdown in the Render Settings GUI. The Equirectangular rendering method is not stereoscopic, while ODS is.
Here's a neat tutorial showing how to create 360° and VR (which you call stereoscopic equirectangular) videos using the ReplayMod: