I'm late into this thread-I was scared away by it's all too frequent title and the inevitable that follows...

If you have areas that are particularly weak, that are limiters to your total performance, for racing, touring or other, then specific weight training can address these areas more accurately than just riding. Once these areas are not weaknesses the bike is the better place to train for increased/improved strength for cycling.

Pilates is a great help for core and other upper body and can quickly overcome local weaknesses that are limiting your preformance.

The goal of the relatively high rpm's drills to improve coordination of the little motor units is useful, if that's a limiter. Maybe early in the season or early in a career of cycling is enough unless you'll be racing on the track. You are trying to reduce "inhibition", where one muscle like a hamstring is not relaxed enough when it should be and thereby getting in the way of the quad's attempt to move the pedals around. Drills that encourage you to relax on the bike are helpful.

Yesterday, during a match sprint at the track I had to close a 3m gap on my opponent going down the backstretch of our last lap. While I did need to go faster, I focused on staying relaxed, so the muscles could do their job. (They did.)

Yes, Andy Coggan and Ric Stern have their own ideas about strength training and they can make it sound all good for their opinion, but in reality Ric has coached a relatively small number of riders and Andy has coached virtually none. So, grain of salt. There is more than one path to success in cycling.