I don't think we or anyone here disputes there is value in doing the slower movements, at least for learning phases. What I'm wondering about is if we can get to some rough formula like:
- spend 80% of your time on the slow training
- spend 20% of your time on the real-time.
In some sense, that's a breakdown for judo training. Relatively little time is spent in randori (kind of free play push hands), even less in shiai (tournaments). Most time is spent in kata and fundamentals.
But there should be some data on more widely done activities. For example, anecdotally, in 2011, this article claims Phelps was training 5-6 hours per day and most of that time was with "full effort" (which I could interpret to mean full-speed). That would probably say 90% of his training is full-speed.
This was supposedly Usain Bolt's supplementary routine in 2013 which doesn't address the speed question:
http://www.menshealth.co.uk/fitness/car ... ed-workout Since these men are the 2 fastest humans on the planet (ever, as far as we know from records) in swimming and running, respectively, they are outliers and probably their routines do not really answer the above question. There isn't much point to learn at below level 4 (unconscious competence) when whatever you are doing already makes you the world's fastest by a good margin.
Does their lesson apply to everyone else? A beginner golfer or motorcyclist or skier should go slower at first. What happens when you are intermediate level? No longer a beginner but definitely not world-class.