Spotting Drills vs centre drills

In MEW 212 Chris Smith from Taunton chastises Harold Hall for using centre drills for starting a hole and recomends using a spotting drill or stub drill instead. This is something that I also do so I thought I’d investigate
Drilling Tips

I had to drill some steel plate yesterday and even though I was using a vice and pillar drill (drillpress) the drill started to wander as it was a little bendy. This happened twice, once on a through hole and