Unfortunately due to the amount of intro puzzles, the 'paradoxes' part does not seem to appear for a while... I'm just as annoyed as you are about that, lol.
Off-camera I have done like 45 puzzles total, which is half the game, and there is much stuff that is NOT about portal frames (movable blocks, jank physics, buttons and doors) - this video is really more like 'some cool puzzle platformer stuff but frames don't feel like they play that much of a primary role'. I guess comment if you would like more of this series.
In some ways "moving portals" sounds odd, because you do 'move' portals in portal, but that is really more like teleporting to different positions rather than having speed.