There are two black spacers that slide on the axle/pin that goes into the bushing. On my shock the pin protrudes about 0.05mm out of the end of one spacer (while being flush on the other one) which results in the spacer being loose when the axle bolts are tightened as the spacer cannot touch the frame.
Pic from your other thread:
https://www.dropbox.com/s/xh5wzr97pfm6qyi/shock1.jpg?dl=0
This doesn’t seem right to me as I thought that the spacers should both be tight against the frame.
Generic engineering observation:
I would expect the axle to be a close fit in the shock bushing and be held tight between the frame lugs when the clamping screw is tightened, so that there is no movement between the axle and the frame. I would expect the width of the eye/spacers to be slightly shorter than the axle so that the shock eye is held in the middle of the axle by the spacers with sufficient clearance for it to rotate freely on the axle (your 0.05mm difference seems reasonable for this).
What problem is the lateral play causing you?