In science, a "law" is any mere statistical relation--it doesn't have to be a "rule" that things "must" follow. So, even if Bode's law does not apply to every solar system out there, it would still apply here.
However, I think there is something to Bode's law other than mere coincidence, but its more like a law of "biology", than a law of physics. Protoplanets "compete" for mass. As larger and larger protoplanets "grow" by "ingesting" matter out of the primordial disk, there is a limit to the "search space" they can cover governed by the average orbital eccentricity. In other words, Bode's Law is the result of "niche partitioning" among the major planets.
Mercury's a little off because it's so close to the Sun that atmospheric drag from the Sun itself may have had an effect, plus there are also general relativity effects that aren't predictable using ordinary Newtonian orbital mechanics.
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"Ignorance more frequently begets confidence than does knowledge" -- Charles Darwin
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