Ah, the mental game of skiing.
I see you have made progress in maintaining shin angle--keeping forward in your boots.
Technique is best developed making medium radius turns, before adjusting it for short radius turns. Medium radius turns require a good chunk of the width of the hill you're on. In your first video, your turns were shallow because you were using a narrow corridor, in order to avoid other skiers and boarders. In the second, the snow was more broken. Were you thinking that you needed to pivot your skis quickly in those conditions? If so, get that right out of your head! Not true.
Short of a week's vacation in Sun Valley, your assignment is going to be to get up at the crack of dawn and get out on that slope, freshly groomed, when no one else is on it. Then your goal will be to create well rounded, well finished medium radius turns, using the skill elements that I believe you already know about.
Question--when you are going into a new turn, which comes first for you, weight shift or tipping into the new turn (actually starting the turning action)? It appears to me that in your first clip you were tending more toward the former than you were in the second clip. Practice doing a traverse and balancing for a short time, without turning, on the little toe edge of the uphill ski. See what that does for you.
And see if the changes in your movements also promote the upper-lower body separation others have discussed.