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Edit: I see it's because I'm this instance there was less entropy, I guess a normal transaction has a lot more bits to guess

Why doesn't this happen with every large transaction then? Someone tries to move 10 BTC, instantly stolen?

Basically you're saying that every single Bitcoin transaction can be stolen "really fast".

Am I missing a step here?

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It is based on the fact that the upper range limit of the private key used in the puzzle is known. A securely generated private key would not be vulnerable even if its public key is known.

The second post on this thread[0] has a helpful chart that makes it easier to understand.

0: https://bitcointalk.org/index.php?topic=5218972.0

Thanks

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