As a guy who's played a lot of Hammond with Leslie over the past 48 years, I have to say this pedal doesn't sound like a real Leslie speaker at all.
It sounds like what it is, a tremolo pedal/phaser gizmo from the get-go of that video right through to the end.
That isn't to say it doesn't have a charm of its own, in the way that a Univibe, another analog pedal that doesn't sound like the Leslie speaker it was created to emulate but still has a cool thing happening.
But it's nothing like a real-deal rotary sound. Compare it to a real rotary speaker, an Eventide rotary simulation, or a Strymon emulation, and you'll just shake your head.
Sometimes analog simply means, "We can't get this right without going digital."