If modal interchange is a trick that you can do with even something simple like E - Am - E, a stack of fourths is a separate trick in and of itself. Soloing E minor pentatonic over E major key is a variation of the same theme.

Song goes E - C#m - F#m - B, but then you switch to or overlay Am - C - D. Switching, or 'modal interchange' between parallel major and minor keys is a stock trick in jazzy music. The more complicated E - A - D - G - C - E stack just adds flavor and explicates more simultaneous notes from the E (natural) minor scale. If you want to try a 'for dummies' version of the same trick, you would play an E major chord and then an A minor for a bit. Not sure if the pianist on the video plays the low E notes, but they make the sound fuller and the trick more clearly understood if you're just playing piano without other instruments: It's basically very briefly bringing in stuff from E minor, being mostly in E major key. Try it with your left hand playing E - A - D and right hand G - C - E. It could be a stack of fourths and an E on top: E - A - D - G - C - E. You can do modal interchange without using quartal chords, and quartal chords without modal interchange.

TL DR: two things: (1) modal interchange, borrowing many notes from the parallel minor key, (2) done by using (largely) a quartal voicing.

Emaj7 chord piano chord dictionary