have you a pair of calipers to measure the distance between rods and bearings?
if no the try swapping moving the carriages between the good rail to the bad rail if the problem stays on the same rail then you have a rail problem, if it moves with the carriage then you have a carriage problem
from your vid I would guess there is a problem with the carriage, you may find the printed body is slightly out of size
Either way strip down the axis and try rebuilding it, but build everything loose, and when its together you need to 'float' the carriage into place, this is done by progressively tightening the bolts in sequence, and checking the carriage still moves freely as you go, before you tighten a bolt move the carriage as close as possible to that bolt.
RepRapPro Mendel 3 Tricolour
RepRapPro Fisher
-Carbon Arms
-Easy adjust Carriage+effector
-axis stiffness mods
HE3D -600 delta
-Duet 0.8.5
-PanelDue
-DC42 Height probe
-RobotDigg metal components
Simplyfy3D
RS Design Spark CAD