Wind most certainly isn't base load. It's highly weather dependent. Occasionally, Ireland's wind infrastructure produces the country's entire electricity demand, and they actually have to start shutting down wind turbines. Also occasionally the whole system only produces a couple of hundred megawatts for a period of about a week.

There are some locations with very reliable constant wind (though usually only for part of the year) but that's not the norm. Offshore wind does better, but is still far from base load.