Material test completely wanders off the target half the time

Not sure what you mean by deeper but to me it looks like you have multiple mechanical issues going on. The skipping could very well be loose belts. Make sure you’re removed all slack from the belts. They should be taught but not stretching.

Make sure the pinion gears are properly secured to the stepper shafts. There are typically grub screws that are used to secure to the flat of the shaft and one other angle.

It also looks like either your laser module or the lens is not rigid or secured to the gantry. I’d suggest reviewing those as well. It could be that the laser module assembly is not properly secured to the gantry itself.