I will say a few things...
1 - carving is control. Skidding is loss of control
2 - carving is not arcing. Arcing is when your skis are sliding only forward on a rail. Carving is when your skis turn at least partly due to the sidecut and bending of the ski to displace the ski in a curved, turning path. carving may in fact have some skidding, smearing, feathering, whatever you want to call it components which allow the ski to scrub some speed while still essentially "carving" in a controlled manner with round turns.
3 - Carving is control, skidding is loss of control
4 - The more you skid, the less your wonderful short skis with deep sidecuts are going to be of much use(ie, they will be even LESS controlled). They will chatter, the tails will wash out, all kinds of stuff. this is due to a number of technical reasons that I won't try to explain and doesn't really matter. The results matter. You all know that if you're on your shortie skis and they skid, they are almost useless for control compared to when they are hooked up carving.
5 - Carving is control, skidding is loss of control
6 - I prefer to have a little more length on a super steep run pitch. The reason is because it requires a bit less effort and "precision" to hook up the edges. When i wear my shorter skis up on some high chutes and stuff..I sometimes get a bit nervous about the entries which are usually the sketchiest part..not the actual chute. With the shorter skis I'm trying to stand on some little off camber little platform and balance just right.maybe shoot across some little skinny entry thing. Having a longer ski just feels monumentally safer and more secure. However, once i'm on the run..it really doesn't matter. It still comes down to just carving turns. And hey..sometimes the entries are skinny enough that having smaller skis is actually an advantage.
7 - Carving is control, skidding is loss of control
8 - You can absolutely carve your turns up on the steepest thing you can possibly imagine. You will undoubtedly have a smearing or skidding component, but you should not be thinking about skidding. You should be thinking about carving and trying as hard as you can to make a smooth carved turn. You should carve all the way across the hill. if you skid...you have lost control and now gravity is just pulling you down the fall line....SIDEWAYS. If you carve into the fall line and out of it.you carve out of the fallline and your speed will be controlled by virtue of the fact that you're move across instead of down. If you skid, you have little or no control.
9 - carving is control, skidding is loss of control
10 - short shaped skis can probably help you carve. If they are chattering its because you're skidding. They might be too stiff for you. A racing ski is probably not appropriate unless you're ready to carry some pretty good speeds up there.
11 - Do you get the point about Carving yet?