Although I’ve been using using these devices for the past 2-3 years I haven’t yet used the official enclosures (aside form the underwater one.) I am aware that mic self-noise from the wind can be a bit of an issue with the cases, but it’s been my impression that the protective membrane which sits over the pinhole mic can attenuate some of this interference. If the wind is blowing directly onto the case (as opposed to shearing across it), I would suppose - much like other forms of wind attenuation - that some degree of wind distortion is inevitable.
If it’s helpful at all, maybe you could cover the case in a small windjammer? Similar to the type for handheld recorders. However, any rain or dew might present some problems 
My alternative case for the AudioMoth consists of using small O-ring containers, drilling a hole where the mic is and covering this (from the inside) with sellotape. Wind distortion is minimal, but I believe some of the mid-to-high end is compromised, especially in quieter conditions. It’s still good though and I’ve stuck with it. These customised cases have survived some abominable winter conditions, but to be honest it took a bit of refinement (and losing an AudioMoth in the process) before I struck the right combination of materials.
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