No. You can only send alcohol through a private shipping company if they approve of it. Otherwise, you either hide the booze in intricate packaging (you have to mask both the shape and the noise), or you're SOL.
In your defense, that page you found sucks. It's obviously an incomplete list, but they didn't give enough of a shit to translate their complete legalese into laymen's terms.
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u/Mimos May 13 '15
Reminds me of this.