In the video he says there are a lot of I-IV-V intervals in this genre of music. In a harmonic sense though they don't fit into any sort of chord progression. It's not a major I-IV-V, it's not a i-iv-V or a i-iv-v. It's just 3-4 notes played individually so they don't really function as a traditional definition of a chord progression which establishes or goes against a key. It's ambiguous.
We experience an E1 when A2 is played over E2.
What we don’t hear is a third (9th or 10th harmonic) and the third forms the basis of the harmonic theories from the Period of Common Practice, and because the video is academic, those theories are the context in which chord progressions are discussed in the video.
Full disclosure, I am a self-taught, punk musician with minimal knowledge of music theory. But most hardcore punk songs are just pop songs sped up, so I don't see how one can have a chord progression and the other can't.
I don't really listen to this type of music but based on the quick snippets that were played only blitzkrieg bop had a chord progression. The other songs were power chords or what sounded like just single notes being played. If other songs in this genre you've heard are playing full bar chords than those would likely be considered to have a chord progression.
Also, since most of this discussion, including the video, was around guitar, you can have a chord progressions with one person playing only power chords but someone else has to fill in the gap, like the bass or singer. It's over the whole arrangement not an individual part.
Edit: It is! Look at his email.