This is correct.
I used to use premium in the summer months to lower the operating temps of other vehicles, but it never added horsepower or made any engine rung smoother that wasn't designed for it.
So you always used the minimum required octane rating? Going to a higher rating from minimum will not really have any effects as your engine will be running properly already.
Higher octane gasoline does not burn slower, it has a slight lag in ignition compared to lower octane fuels. This is why you can advance the timing when you run higher octane fuels.
When running a lower then recommended or getting some poor quality gasoline your modern vehicle will pull(retard) timing to prevent knock.
If you haven't actually had to study fuels and how they burn and the conditions they burn under don't state something as "fact."
I wonder if anyone can give me the octane rating of diesel and how important it is.