Maybe better luck with this one? Low speed footage compared to the first video but shows the stopping technique we use.
I guess it depends on the country you're in.
At speed everything gets warm due to the friction. The friction causes the ice/snow to melt and we ride on that very thin layer of water. This is why speed skiers often use warmer waxes than you would see on a slalom skier in the same snow conditions. The warmer waxes, combined with a wider tuning structure on the base material allow for the water to be channeled efficiently and reducing friction.
In extreme conditions like riding glass ice the friction generated heat may soften the epoxies, which are heat sensitive, used to construct the ski. Add the constant vibration and high miles, any potential weakness in the ski can start to show up. Especially if there are spots in the base/edge interface that aren't quite as well bonded as they could be. One little weak spot can allow just a little bit of ice shavings in and begin a base de-lamination. And if it has a chance to melt, diffuse beneath the base and then refreeze the resulting ice expansion under the base will make it even worse.
Generally when the base starts to disengage from the ski you will notice it immediately. It will feel like you are on ball bearings. No edge control at all on the affected ski. Sometimes the base will tear, and as a result of friction and heat generated while riding it will soften enough to deform and it will look like flowing melted plastic.
As I said, feathering your stops will go a long way toward protecting your skis. I have several pairs of skis with a couple 1000 miles each on them before they had any issues with the base. While I know some riders who don't feather and go through several pairs of skis a season.