The wind is always blowing somewhere and overproduction is cheaper than batteries
No, there is pumped storage. Honestly, despite the plethora of start-ups claiming to have a solution (sodium batteries, molten-salt, etc) The only really proven way to store electricity for later is pumped storage, but that relies on geography (hills) which not everyone has. Batteries are great for phones, and cars but they simply don’t scale to countries.
This is wrong. Right now, europe is experiencing high pressure and doesn’t have any wind. Check this out its map that shows you how much wind is being produced right now! Can you provide a source that says " the wind is always blowing somewhere" or is it just a platitude?