I have fewer skiing years behind me than probably everyone else here, but I'll share what I found to be useful in managing my own progression (taking lessons can be part of managing one's own progression). This should not really contradict anything else discussed here, this is just my experience tested by me, no warranty expressed or implied.
Any video of someone skiing after 12 days on snow is like a kid's first dance recital. If you can at least get around the mountain and there is no lasting physical and emotional trauma from the experience, it is a success. What you can not do is take a video of that recital and ask for choreography improvements to make it a Broadway show. All that is going to happen is that the Ballet people are going to start fighting with the modern dance people and we are going to end up with 12 pages of fighting using terms nobody else understands (it happens a lot here). Everything you were taught was affected by the fact that beginners do not have the fundamental skills to really do what you would like them to do. Move on, don't try to fix your existing turn, focus on more fundamental skills and then you can choreograph your own turns. Seeing the correct turn can vary throughout a run, you need to be able to do this. Use the video for comparison at the end of the season, for now put it behind you.
Understand that carving (ski turns you) and rotation/steering (you turn the skis) are competing ways to turn. While carving is often considered the ideal (plan A), the reality is that due to skill level, snow conditions, the slope or your skis (some are turnier than others) it may not give you the amount of turn you need. Rotational movements come in as a very essential Plan B. Based on where you live, carving is going to be more important. You still have to know how to do it all.
Learning the stuff shown in Josh's video within the first 10 days of my skiing was immensely helpful (not that I was doing it on particular serious slopes). Helped me to learn the basics of edging, separation, rotation, controlling skis in general. Also got me down some stuff beyond my ability when my kids wanted me to ski with them. Not that you will necessarily ski much like that but it forces the development of basic skills. Next time on snow, do that (personally I would hold off on the jumping bit).
Carving basics you can start at home (this can be hard on the knees, don't hurt yourself here). Stand on a carpet with your skis on, rest your hands on your hips, practice tipping your feet to the left and right. The hands on hips is not essential, really just a proprioceptive aid to limit bending at the waist. Once you have practiced this a bit with some decent angles, when tipping say left, focus on lightening the left foot so most your weight ends up on the right foot. To test, lift up your left foot (this is a check on balance, no need to do this bit on snow). The only job of your upper body in this exercise is to do the absolute minimum not to fall over, in this case some degree of counterbalancing, hinging at the hips. The lack of dynamic forces means that you actually have to exaggerate the counter to stay in balance, you can dial it back on real turns. Observe what you are doing with your body, the ski's edges interaction with the carpet, think through what would be different in the presence of dynamic forces. Next time on snow try it out on an easy slope. You should be able to get some turn out of it, probably not enough initially so that is where Plan B comes in.
Some people like the "phantom" move as a starting point to develop carving skills, others not. All good skiers can do it anyway so try it and form your own opinion.
Finally lose the poles for now, make sure you know how to skate. When skating, emphasize putting the ski down outside edge first.
A lot of stuff obviously not covered, but once you have at least some of that down, you should have some degree of versatility in your turns.
. I agree with him that the movements I pointed out in that long post upthread, the one with the pictures, all need to be replaced. I agree with Josh that you need to stop pushing down or away on that new outside ski by lengthening that leg as you do. Pay special attention to that last part of his post; doing new movements will feel wrong; your turns will feel worse at first. That's a sign you are doing something different, which is good.
If I'm struggling in certain snow conditions or terrain, he'll throw out a quick tip. Other times, if the snow is amazing and I just want to play, I tell him to 