Interesting post !
That was a design horror story that applied to a specific New Holland engine (in a 2006 TC40DA tractor ). Due to a design error, pouring oil in at a normal rate, oil could back up and some oil could go down the crankcase vent, into the intake tract, then onto a piston. Upon starting the engine, an unlucky piston encounters a slug of oil at the top of its stroke, hydro-locks and major internal engine parts are damaged.
Slow filling was key to dealing with a specific tractor model with a specific design error.
Slow filling into other engines is not a logical action. The takeaway from SHADE TREE WELDER's experience is to learn exactly what year and model had this problem, and decide whether your tractor has this same design error (very very UNLIKELY). If you
have the same year/model then fix the problem with newer oil filler parts and wipe it off your list of concerns. I think another poster stated that his 2007 model had a different oil filler parts & method.
Don't add useless ritual to a simple task like oil change. Unless you enjoy ritual, which I'm not against per se

I'm all for useless ritual in woodworking!
Agreed some engines have "procedures" though, such as dry-sump systems etc. and there are "full filter" and "empty filter" issues. I may have to backpedal a little. But how to decide if this ought to be a worry? One indication is, if your oil filler is on the valve cover, and you can see valve tappets, pour like ****!
All this IMHO of course.