Dynamic box squats are a great lift. I’d like to see a pepsi challenge between them and hang cleans.
I am a huge fan of west side methods. Without doing a single power clean for 2 years I managed to increase my power clean by 80 lbs. The overall strength gains I have gotten have been incredible. Dynamic effort box squats and a plethora of max effort movements have been the cornerstone of my training for several years. The big asterix is that I was not competing in sport (other than powerlifting) during this time.
Now that I am getting back into athletics the issue that I have been having with west side is that it is very difficult to implement dynamic effort, max effort, and all the accessory work while doing a sport. I simply can’t recover. In track absolute strength is only one parameter. Hell, I had a 525 squat last year as a 148 lifter and my explosive strength parameters (vert, SLJ, 40) were not much better than when I was running 50-60 mpw as a college 800m runner.
With that in mind, I think one valid argument for olympic lifts in athletes is recovery. You are able to complete intense, explosive multijoint movements and recover for your training session and/or competition. That is huge.
Olympic lifts can definitely fit into a conjugate system for an athlete. No matter how effective something is you will ultimately get diminishing returns if you do not include variation. So I agree with you saying you should do all kinds of lifts explosively (especially squats).
I know the snatch is really technical, but seriously I think a monkey could learn to do high pulls and power cleans…