I think
@srfallsallot was referring to the cross-slide when he mentioned 'saddle movement' - without using a dial indicator it is hard to estimate slop in the carriage/apron movement.
If his Logan is like my Model 210, both the compound and cross-slide backlash can be adjusted (to the limit allowed by wear in the leadscrew nuts) with the two nuts at the handle. Patient adjusting can get rid of a lot of slop while still allowing the dials to rotate. I added thin thrust washers between the dials and the fixed part of the bodies, and that seems to help. As a beginner, I had to learn to deal with the backlash - not difficult if you have tuned a guitar in the past.