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I don't get your point then. 2nd law entails that the creation of any order in a closed system yields increase of entropy in that system, so what is surprising/counterintuitive about the fact that this is true of snowflake formation in particular?
The point is that our perception of order isn't the same as thermodynamic entropy. That's it. A disorderly looking thing can be low entropy and an orderly looking thing can be high entropy. I repeat myself here, it's all in the original tweet.
it's wrong though. The crystal (ordered) does have a lower entropy. The entropy of the (closed) system didn't change.
But it's easily resolved by thinking about processes and not things (not as good a framework). Then you can read the original tweet as saying, even though the process of generating a snowflake seems to increase order, it comes at the expense of also generating more entropy.
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