There is only wild life protection.
Nothing is or can be closed off Piste in Switzerland.
But according to the official map of switz it's only " recommend" wild life. Zermatt has it as wild life in their plan, but technically you should not be fined if it's only recommend and not official.
The ski area can ( could? Might?) take your pass I guess, but they rarely actively enforce those areas.
So I'd guess it gets skied. But I've never been ( in that part of Zermatt)so i don't know.
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