The K is renowned for sticking throttle bodies, the plastic body can easily distort and stop the butterfly from closing properly and rapidly, this can be exacerbated by the clip which attaches the filter to the TB, if it is overtightened it can pull the TB out of round. There are a variety of other possible causes, sticking throttle cable, sticking IACV, air leak, duff connection to TPS or other sensor, but I would check the TB first.
oily