Again, I don't believe anybody is suggesting the aerobic system development should be skipped. However many do still believe strength, power, balance, and anaerobic development to be highlight points in a well balanced alpine conditioning program.
I always used to caution my students that one should not base their views on what some group, or individual does (especially when we are not privy to the entire picture of the entire training program). E.g. The Svindal clip sparked a relatively unproductive back and forth about how much he actually pushes for weight.....unproductive as again it's one clip and we (to the best of our knowledge) do not know what the rest of his program looks like. I can only assume based on what I've personally seen with elite skiers and what other peers have mentioned they do with them as well.
Reminds me of many stories I've heard about the famed Russian sprinter Val Borzov, he attributed much of his success to a specific plyometric exercise he performed religiously. While there certainly was benefit to his exercise, sport science suggests the actual exercise might not be the most effective to achieve his stated goals. Yet it worked for him so many I suppose could say that their own athletes should partake because it helped Borzov to become champion.....to my knowledge no current world class sprinter does that particular plyometic exercise anymore (for decades). In another sport Herschel Walker had ballet training at a young age and was arguably one of the best running backs to ever play in he NFL....one might suggst it's the ballet that helped him achieve that, however one can also suggest I might have hindered him and he might've been even better if he didn't. So caution is warranted when using similar examples to highlight what one should or shouldn't do. The old N of one problem.
Mikaela (again I don't know for sure as I'm not in her circle...and if I was I certainly would not advertise such on an Internet forum) and strength coaches they have working with her have said on record that given her age and more importantly relative newness to the rigours of the WC tour the challenge with her is to try and bring her up to where they think she should be physically while not overloading her and negatively effecting her racing. (A balancing act). Others like Ligety can endure differently in the off season and during season training.
The Vonn's focus of "more" aerobic type work (although again what is said and what actually happens in the program might be surprising...e.g. Michael Johnson's coach's comments vs. what the program actually presented showed). Or it might not, unless you know the entire program and how adjustments are made during the sessions. Perhaps her strength and power development was already so high they elected to focus more on other areas, perhaps (if she didn't do heavy weight...id be surprised if she didn't at all) maybe her lack of focus on the strength side of the program predisposed her to the knee injury she sustained in Austria 2013 when her leg buckled upon impact after a roller and negatively effected what is already an amazing career. Not saying it was (I have no idea what her numbers were), maybe it was a freak accident. Or maybe it was the type of accident that might not have been so detrimental with stronger legs (I know the mechanism was not one where better aerobic conditioning would've helped....given it was not long into the race
). Again, the examples used just to highlight the difficulty and challenge in using what a particular individual athlete does to provide a support framework on what is important physiologically in a particular sport.
If one believes aerobic development to be first and foremost, then express that in your training. If one believes other factors are more important than do those things more. If one looks to what many elite alpine skiers and their training staff do with he athletes they will see many similarities, already mentioned many, many times and with many examples in this thread. Choose to use the information how you wish.
I have no dog in this discussion, you aren't paying me to help you reach your potential in alpine racing. If you were it's not hard to figure out my particular perspectives. I've had notable successes working with elite athletes, but as mentioned above, that doesn't guarantee I know what I'm talking about either.
Break down the physical requirements of the sport and determine the strategies to improve or develop those areas specific to you or your athlete. If it's just you he consequences of not being as optimal is realituvely minor, if you were like me and were employed in the area the results significantly impacted one's job security.