There is also an exercise by Paul Gilbert I think, that is very useful for correcting this issue. You just alternate pick a pattern of 4 notes at a comfortable tempo (let's say frets 5-6-8 on the D string, fret 5 on the G string).
You then change the dynamics in your right hand, making sure the level of tension in tge left hand stays minimal. Play softly for a few seconds, then increase progressively the force with which you pick. Keep focusing on the left hand staying relaxed and barely fretting the notes, while you bang the strings with your right hand.
Also play softly, and accent random notes. Some of them ridiculously hard. Still always focusing on minimal effort on the left hand.
This exercise helps build independence between the 2 hands. Because if you pay attention, sometimes when you get into it and pick really hard, your left hand will mimic the right one and also fret unnecessarily hard.
3 minutes a day for this exercise and 3 for the kiko one should yield noticeable results in a short time