Ermm I wouldn't do that really, it's not a conclusive test for a worn nut and any wear could easily be masked due to differences in the screws.
If the nuts worn enough to cause that much wazy-ness then it will be quite obvious and easy to feel or see without going to that much trouble. A bent ball-screw would show more has a vibration and wouldn't really show has a consistent uniform wave.
If It's mechanical issue it's more probably going to be a floating ball-screw due to lose or worn fixed end bearings or some other lose assembly or component.
Like I say some pics and possible file your having problem with would help.