I respectfully disagree. And does my mentor who did tool and die for nearly 70 years.
I think the difference is that you should drag LIGHTLY on the back stroke, and cut on the fore stroke. 90 years of die filing also support his conclusions. If you've never used a die filer, you cut on both strokes with the teeth pointing downwards (of course less on the upstroke). A remarkable and highly acurate tool - and the files last a very long time.
Might I suggest you run your other cutters backwards with light feed rates on every pass. Should have the same result
because this is what is being done. Think about it.
I think everyone on this site has read or seen one or two presentations on how cutting edges work so lets skip that, while extremely important, I'm going to assume its common knowledge for this conversation.
What most still have difficulty with is understanding how/why burrs form on edges. It is a form of molecular drag/rolling of material in the direction of cut, which is why cutting into to edges produces little to none. This applies to both material being being cut and the cutter (file).
If you look at the file closely enough you actual see a burr curling inwards on the edge on a pull stroke. On the push stroke the burr may be broke off (can actually be a good thing, if you truely understand sharpening) or not in which case the burr get thicker and stronger (bad thing). You now have a round edge shape similar to a ski tip that you are building during the reverse stroke.
Best analogy, think how a shaper works, it is essentially one tooth file, it does not cut on the back stroke.
As to your mentor, can't say how he did things, but can speculate....bear down on the push stroke, glide (no pressure) on the reverse stroke (btw this actually clears the teeth, done correctly). This clearing speed up the forward cut if its done correctly. This is also why file chalk is beneficial.
Most people actually apply pressure which causes the issues, see burr comments.
When teaching and learning truly lift on the reverse stroke to set the pattern, as you master the skill you will just skim (glide) on the reverse stroke (it is more efficient action) with no pressure.
Again the video test is faulty in design, leading to false conclusions without understanding the mechanism of what actually occurs to test correctly.
BTW my mentor(s) that taught me, close to about 300 years combined.