First, barring 'Vegas-level scrutiny', I think these are more than random enough for , say, Monopoly use. Certainly more random than the real dice in the video. (they have divots for the spots, which subtly biases the cubes weight distribution; real casino dice have spots that are screen printed for that reason. Casino dice also have sharp edges and corners, not rounded. although I don't know if that's to shorten the rolling time or just tradition. A LOT of engineering goes into making them.)
Since they're turned on the lathe they're perfectly concentric to the axle, so there's no bias in weight distribution there, and I'd be surprised if there was a microgram total of material removed by the laser etching. that leaves only variations in the placement and strength of the magnets, and that's governed by the care in drilling the holes precisely and the magnets themselves (which are all produced on automated production lines to exact specifications these days).
Testing this would be an interesting project in itself. You would need to devise some mechanism to repeatedly apply the same rotational force to the rollers.

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