Existing wind turbines turbines are not recyclable - new wind turbines are.
Except, that's not even true. Some existing wind turbines are not recyclable.
Except that's not entirely true either! The tower portion of the turbine is usually steel, and easily recyclable! The nacelle, too. It's the base and the blades that can't be recycled.
Except that's not entirely true either! Existing turbine blades are made (mostly) of fibreglass, which is made of the fibre and the resin. The fibres aren't reliably as strong when recycled (which makes them not-very-useful when recycled), but the resin is just fine. And of course, if the blade is e.g. carbon fibre, then you can either re-use it or just burn it.
So, you statement should be that some (components of) existing wind turbines cannot be profitably recycled with current technology.
The wind turbine's concrete base doesn't need to be smashed up or ignored, incidentally - it can be re-used. Concrete is much sturdier than the e.g. gearbox.
None of this is economically profitable, which is why right now it ends up in massive landfils. The concrete base is reinforced with steel beams and weights so much that you can't move it.
Also sorry but I would require a citation for "new wind turbines are recyclable". That the tech exists doesn't mean that all installed turbines have it.