Origin offset just defines where (0,0,0) is relative to the corner of the bed. For example, some delta printers have (0,0,0) in the middle of the bed, so they need an origin offset equal to roughly half the width of the bed.
You use the Z offset just to shift the coordinates in the gcode file. For example, if you want to print a bit closer or further away from the print bed, you could adjust the global Z axis offset.
So basically, you only change the origin offsets if you are setting up a new machine and the origin for that machine is different than expected. Use the global offsets for everything else.