This is a guess from what you said in post one about taking up the whole slope. When you ski alone you're probably doing turn > go straight for a while > turn again
. Next time you ski alone keep repeating to yourself, turn > turn
. Where one turn ends the next one begins. No big pause, hanging there between turns looking for a good place to launch the new turn, covering big chunks of real estate sideways across the slope as you do. JUST TURN. That's what the good skiers you're following do. Did you do figure 8s in skating? Remember how you changed direction in those? Quickly, right? Did the skates tip in a single motion from one side of the blade to the other? Same thing when linking ski turns.
Also, don't rush the tops of the turn. By that I mean don't twist your skis around aggressively at the beginning of the turn, in a desperate rush to get your skis pointing back across the slope. Take your time through the first half of the turn. It will provide flow and fluidity to your turns. That too is what those good skiers you follow do. It's the principle of turn shape. You want your turns consistent from start to finish. Practice different radius turns, but always with the same C shape. From turn to turn, nothing is done abruptly. No aggressive twisting at the start of the turn. Think of skating down the ice rink and wanting to execute a 180 degree turn. Whether you were going to turn quickly, or make a long sweeping turn, you'd most likely make that turn very smooth and consistent of shape, wouldn't you. Same thing here.
Also practice making some turns in which the first half of the turn is of a longer radius than the second half. It's a good way to ensure you're not rushing the start of your turn with that ugly twisting move we call a PIVOT. Try to count to 3 or 4, from the time you begin your turn, to the time your skis have reached the falline (pointing straight down the hill). When you can do that, you'll be well on your way to executing good turn shapes that have rhythmical flow, all on your own.
Finally, part of turn shape is how long your keep turning. It's called "Degree of Turn". Going straight down the hill would be a 0 degree turn. Finishing your turn with your skis 90 degrees to the falline is a 90 degree turn. Practice turns of all different degrees, while maintaining the same consistent turn shape you were before. This will add to the repertoire of turn shapes can perform and use.
You'll find that the larger your degree of turn, and the smaller your turn radius, the better you can control your speed. This is important knowledge and skill to have. It will allow you to govern the turn shape you use according to the pitch of the hill your skiing. Regardless of the pitch of the hill, it will provide you with tools you can use to manage your speed in a way that allows you to always maintain your flow, and avoid the dreaded pivot.
Hope that helps. Have a look at my website: http://www.yourskicoach.com/YourSkiCoach/Your_Ski_Coach_Home.html
. I have quite a bit of educational material there you may find helpful for developing your understanding of ski technique. I have a number of articles I've written about various technical issues,,, an ASK THE COACH page where I answer common questions from students and readers,,, and a new GLOSSARY page that is a work in progress, but is going to be an amazing learning tool for all skiers when done.
Enjoy your journey through this wonderful phase of your relationship with skiing. You're at a point where improvements will be coming in leaps and bounds, and the associated fun and rewards will be plentiful. The early days on skis are cool time.