UPRacer--really strong skiing and racing tactics overall--but you already knew that. That is one strong "beer league"! Some good thoughts from others, so I'll just add a couple observations.
I see the "double turn" that Rick mentioned, where you occasionally start the turn too early or too high and have to straighten it out a little to get around the gate, before tightening it up again. That's a common tactical error, especially for racers who grew up on skis that couldn't turn as tightly or engage as early in the turn as today's skis can. I'm sure you recall coaching on the "rule of thirds," and its emphasis on starting a turn as your tips cross the "rise line" directly up the hill from the outside pole of the gate. It's still worth playing with today, although you can often aim lower on the rise line than before, due to the tighter turning capability of skis today. I think that those turns where you pinch the gates a little too close are not the result of trying to cut too tight a line, but of simply starting the turn earlier or higher than you needed to. Either way, it doesn't happen very often, and I think you're aware of the issues already.
There may be a technical cause of this double turn as well, though. It's subtle, and doesn't happen all the time, but it looks like you often held onto the turns too long, rather than releasing them progressively. (I think that this is what D(C) was describing as well.) This causes a harsh, abrupt transition, often with a pronounced "up" movement, followed by a sudden re-engagement in the next turn. When you come back down and hit those edges again, hard and early in the turn, the skis quickly bend and cut a tight radius arc. Then you lose pressure and edge angle, and the arc straightens out--which may be fortunate, because that initial arc was too tight in the first place! So it all works out and you stay in the course. But, because the "delay" forces you to have hit the edges hard and late again to finish the turn, it both slows you down and repeats the cycle. This movement pattern is particularly visible in the third turn, to the left, in your second run, just before you come to that lift tower. There are clearly two distinct spots where you hit the edges hard, causing snow to spray out--one near the top of the turn, and one at the end. Once you've seen it there, look for it in other turns--it happens fairly consistently, if not always as obviously.
Here's another way to look at it. Even in the "old" days, when we needed more up-down motion in turns as a rule so we could float and guide the top half and then engage and carve the second half, it was important to start releasing the turn before it ended. In other words, if you started a turn tall, then flexed through the carving phase, you had to remember to finish the turn tall again, ready to start the next turn. "Get out of it!" I can still hear Phil and Steve Mahre shouting at people in the Mahre Training Center at Keystone. Finish the turn tall, rather than rising to start the next turn. (A better word today would be "neutral," which may or may not be "tall," but it implies whatever stance you will start your next turn with. Strive to finish your turns in neutral.)
Looking at the movements I described above from this perspective, you tend to stay "down" and pressured too long, not releasing the turn until it's almost time to start the next turn. While this error often makes racers start the next turn too late, in your case I see it causing you to really rush the transition, get too far inside too early, and hit the edges too hard and early--which tightens the turn, brings your feet back underneath you, and both technically causes and tactically necessitates the "double turn," as I described.
Any way you look at it, whether it starts as a tactical error that affects your technique, or a technical error that affects your tactics, it is subtle! If your timing is off, it is only off by microseconds. That "up" movement at the start of turns is neither huge nor consistent, and it is generally well-directed into the next turn, rather than "straight up." No need to revamp your whole approach--just play with the subtleties.
One other thing caught my eye. You tend to use more knee angulation with your right leg, in left turns, than with your left leg in right turns. I wonder if there might be a boot canting/alignment issue that you should look at?