Yes! Hooo boy, I just figured this out myself!
What I did was add a Simple Deform modifier and place it as the first thing on the stack (So /visually above/ the cloth sim’s modifier that’s added when you enable the physics!), and at the first frame, keyframed the rotation at 0 degrees, at frame 30, keyframed the rotation at 45, and at 60, keyframed to 0 again. All good! Looks basically identical to the tutorial!