I am in a similar situation, level 14 turning without skidding, level 30 in most parallel skills, and in carving I reach level 4 almost immediately, and not a single positive ding after that. If I hear, "Good effort, Theresa," one more time... It is maddening. On another forum, I learned that this is a system bug. The person who posted received this information from Carv. They said that to get to the next level requires the skill of a level 10 performance, and they are working on it, but no timeline was given. Several other skiers were expressing the same issue. I haven't personally confirmed this with Carv yet, but I almost can't use it at the moment. Between the conditions and not improving my score, I am letting it get in my head, and it is affecting my fun.
I turned off the turn-by-turn chimes. They drove me nuts. It is nearly impossible to link together a series of "perfect" turns in any given metric. It would also make me very tense and unable to flow and relax.
I finally got some coaching from my husband today. Many know this, but he is an L3 instructor and has been for nearly 30 years. He gave up on helping me several seasons ago (we have only been together for 9 years) because the frustration level from me not improving caused lots of unhappy moments.

I have had boot issue after boot issue, which this year has been largely resolved thanks to double BOA and ZipFits. I feel SO much more balanced than I ever had. However, years of defensive skiing have created some horrific habits. Anyhoo, today, after watching the latest Deb Armstrong video where she was coaching a guy about my age (mid-50s) who had a similar CARV score (120ish) and skied very much like I do, husband and I set out with some specific drills and goals. My overall ski IQ did not improve, but my turn shape metric did as did the finishing my turns metric. CARV can be taken as so one-dimensional and it can be quite unrewarding in that regard. (Trust me, I know firsthand.) So, picking out a metric that my husband and I both know I can improve on and focusing on that with the goal of undoing some bad habits is my new goal.
One HUGE hurrah today was a new high score that was at least 10 points higher on a flat section. I spent a few runs following my husband skiing much more slowly than I normally do, and finishing my turns without worrying about my CARV score. Finishing turns requires feet to be beneath you and edge angles to be higher than what might be "comfortable". It's also much slower at first.
So, choose a metric and focus on that. The scores will follow. It's a puzzle. And there's a reason why when you see a lesson of intermediate or higher skiers out, they are NOT going fast. Speed does not equal skill.
One thing I wish I could do with the CARV app is have a graph that shows each metric from day 1 until current. I love data and statistics and would like to be able to see the changes in scores of various metrics on one screen.
Here is the Deb Armstrong video I was talking about: