OK. I have not watched the video. From what I've read in "Understanding Exposure" I have no interest in hearing any more from him.
Back to diffraction - The effect is real, and if you pixel peep you will certainly see it. However, whether or not it is a problem in the real world will depend on how much you enlarge your shot. If all you will do is to make a little 800x533 web image (without first cropping) then the diffraction probably won't be (easily) visible, if at all. If you want a large print then you may well see a problem emerging. For educational purposes, don't stop at f/22 either. If your lens goes to f/32 then why not really see how bad things become? Truly the diffraction effect is significant when you stop down that far.
When shooting on APS-C I rarely stop down beyond f/8, as there is seldom much to be gained, and plenty to be lost. I guess f/11 is my prefered maximum, and f/16 my upper limit. On 35mm I prefer f/16 as a maximum and f/22 as an upper limit. For APS-H I tend to stick closer to my APS-C preferences, but then I don't generally use my crop body cameras for scenes that require a lot of DOF. More usually I am looking to shoot with shallow DOF or for maximum IQ, and that means rarely going above f/8 for either crop format.
Here you go. Here's a series of shots at f/32, f/22, f/16, f/11, f/8, f/5.6 from my 7D and 70-200, focused using Live AF and monted on a tripod with mirror lockup and timer release. They were shot raw and cropped to 100% and converted in DPP with Standard picture style and sharpening at 3.
f/32 :
f/22 :
f/16 :
f/11 :
f/8 :
f/5.6 :
I would show f/4 and f/2.8, but the six image limit means I can't include them, and to be honest it is hardly necessary. You can see that even at f/16 there is visible image softening, and beyond that things just get worse and worse.
Apart from the visual clues to the problem, if we look at the file sizes of the crops, which I think you'll agree look identical, there is a clear trend, with softer files having smaller file sizes....
f/32 = 229KB
f/22 = 251KB
f/16 = 274KB
f/11 = 290KB
f/8 = 295KB
f/5.6 = 294KB
f/4 = 280KB
f/2.8 = 278KB
So while it's a little risky to take those figures as hard absolutes, there is undoubtedly a pattern and the lens may well be sharper wide open than at f/16. When you also consider that the gap between f/16 and f/2.8 is 5 stops, that is a lot of wiggle room to play with on shutter speed and ISO, both of which could radically improve your IQ. So, by all means stop down as far as you need to, but don't go further than necessary. You may end up doing more harm than good.