As I understand it, throwing the Jaeger method doesn't mimic a pitching motion because of the high angle of launch. So, the "pull-downs," which cap off a session bring the arm to the more proper release point. Throwing max effort but on a line makes every throw come from the pitching release point (theoretically).
One problem with any program (weighted balls, Jaeger, etc.) is the instructor employing it; the less the instructor understands the purpose of an exercise, the form needed to successfully accomplish the exercise, the physiology of both his student and the typical pitcher (e.g., side arm is taught differently from overhead, 3/4 is different from 7/8, etc.), the most likely "failure points", and many more variables, knowledge isn't being passed to the student; it becomes a "monkey see, monkey do" approach. To me, this is very risky for many reasons, one of which is the kid needs to develop an understanding of his delivery (to take ownership, if you may) - not limiting understanding to simple mechanical chains - but understanding whether (eg) he has fast loose hips, slow twitch muscles, big fingers or small, etc. That's why so many different methods have success and failures - it's more about knowledge and understanding once basic mechanics are in place.
S's PC has his pitchers (as part of their programs) throwing off a mound up to 120 feet to a standing or squating catcher (fbs). Results have been good; but the players also follow whatever program their organizations require (some are real long toss, others are the "throw on the line" philosophy).
(When I was no longer able to long toss, I too hit fly balls or he took a bucket out to CF and I was reduced to being a bucket filler and fly ball hitter.)