Personally, I complete four separate gear checks on both visual and instrument approaches. I haven't had a wheels up, yet.
..........and I hope you never do, however, the pilot in the Cranwell article did likewise and look what happened there!
Having worked in caravans for some years myself, I also wondered what the point of the Runway Controllers article was. I can appreciate that confessing to a near miss can sometimes help others, but I don't think there are many lessons in this one.
On a different note, I once fired a red when the lead of a 2 ship deployed his chute and it separated from the aircraft and ended up in the touchdown zone. I wasn't sure the No.2 would have seen it and considered it a significant hazard and sent him around. I was subsequently reprimanded by my boss for my actions - he claimed it was the pilots responsibility to decide whether to land or overshoot and not mine. I was not impressed but felt vindicated when the pilot rang me shortly afterwards to thank me!