No they don’t. EZTram was something we rolled out to make the original mounts easier to adjust. However on al our HD and Pro mounts they should be mounted directly to the Z and tram should be adjusted with shims and a wiggle.
Hard to know… it seems pretty symmetrical. I was basing the orientation on the shop photo, where the bolt heads are on the left, and the “side not shown” @wmoy mentioned would also be the right hand side.
But you’re right… it probably could go either way.
Using the Shapeoko Pro as the “official” standard-bearer, the screws to tighten the mount go in from the right, which will put the accessory mounting hole on the left. For mounts with a symmetrical mounting pattern that you can flip though, it really doesn’t matter…