Doesn't a 2000 W induction cooker(heater) generate a huge amount of radio waves ?

Since induction cookers use high power ( upto 2000W) , high frequency ( 200 KHz ?) current and large amount of induction windings, it must be creating a large amount of radio frequency disturbance in homes. Isn't it ?. Does it sit inside faraday cage?.. But then it can not, because atleast from the top side it has to be open for induction to interact with vessle it is trying to heat up.! Please comment.