The only KK departure that gives a levels headache is the LAM departure. Traffic on a LAM absolutely must at FL130 by the time it reaches the LL extended centreline. This is to provide some kind of separation against the LAM stack which it climbs alongside as LAM does not use FL130 to hold. If the aircraft is a dubious climber then this can involve running east as far as DET then a hard left turn to point west of LAM. This is also the initial standing agreement for CLN departures but they can be in the climb to 130 pointing east of the LAM holding area and the LAM controller then weaves his magic and jumps the LAM inbounds.