After reading my manual and watching your videos a few more times, I've determined that the issue is operator error on your part.

Your plate thickness is 16mm. The bottom of the plate is Z = 0. Your clearance plane is Z=3, resulting in the tool plunging 13mm into the plate.

I'm still a bit confused about the time you had a material offset of 5.3mm, as Z zero should have been 5.3mm above the table???