During your untap step, first you determine which of your permanents will untap, then you untap them. If you control a permanent that says “You may choose not to untap [this permanent] during your untap step” and you decide not to untap it, no wind counters will be removed from it because it wouldn’t untap. The same is true for a permanent you control that wouldn’t untap due to a spell or ability (such as the one from Barl’s Cage).
Format Legality
Standard
Not Legal
Future
Not Legal
Historic
Not Legal
Timeless
Not Legal
Gladiator
Not Legal
Pioneer
Not Legal
Modern
Not Legal
Legacy
Legal
Pauper
Not Legal
Vintage
Legal
Penny
Legal
Commander
Legal
Oathbreaker
Legal
Standardbrawl
Not Legal
Brawl
Not Legal
Alchemy
Not Legal
Paupercommander
Not Legal
Duel
Legal
Oldschool
Not Legal
Premodern
Legal
Predh
Legal
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