This is a guess!
You are adjusting the lathe by twisting the lathe bed. The bed stores energy like a spring and will return to 'normal' if it possibly can. The problem may be that time and vibration gradually move the lathe, shimming, and/or stand such that the lathe bed relaxes and goes out of alignment again.
If so the cure might lie in finding out why the lathe bed needs to be corrected in the first place.
The problem may not be with the lathe at all. For example, if the floor or cabinet base aren't flat, then firmly bolting the cabinet down will twist the cabinet out of shape. This in turn could upset the alignment of a lathe balanced on top.
Some detective work is required.
Or:
Occasionally threads pop up questioning the need for lathes to be installed level. Some recent reading suggests that levelling isn't done because lathes 'must' be level. Rather, the installation process of any structure uses levelling at each stage as a way of ensuring that all the parts are fitted in proper alignment. Unpredictable things happen if they aren't.
It's much easier to get alignments correct when everything is orientated with a common reference like a level. You could try the same: make sure the floor is flat; make sure the cabinet base is flat and evenly seated on the floor; make sure the cabinet sides are vertical and the top flat; make sure that alignment is maintained when the bolts are tightened; make sure the lathe sits flat on the cabinet top. Then apply any shimming needed to get the lathe spot on.
Good luck,
Dave