The point being mist here is in the video they are using a pillar drill the drill is spinning not the wood so the vibration is reversed to the chuck on a lathe increasing the chance of the Mt coming a drift also what happened proves this is not a good and safe practice
I at one time always drilled my blanks on a pillar drill and not once did the quill come lose in all the years of drilling now I drill on the lathe and it comes loose quite often strange
When you want to remove the chuck from thee lathe it pops out quite easy try removing one from a pillar drill not so easy