Hello. Remember I did an experiment where I shortened a racquet 1/2" and hit balls as far as possible on a football field. I did this to see how much more power the longer racquet has only to be shocked to see the shorter racquet hit the balls significantly further.
Since the shorter racquet has lower SW you could add weight to the hoop and have even more power.
There's a video of a guy who has one of Rafa's actual racquets from a GS and he measured it and it is 1/4" shorter than standard length.
I see what you're saying but this isn't going to be the case for everyone. How much shorter do you think you could make the racket until your balls started falling shorter than the first racket you shortened? In other words, how many times could you cut half an inch off and have that same kind of result each time? Certainly not all the way down to 0. So for you to assume that shorter is always more powerful is wrong. And for you to assume someone hitting with a shorter frame than they are accustomed to will mean they can hit harder, is also wrong. In theory, a racket with the same SW and balance that is longer should hit harder, right? Even if you did that experiement, the results would only be relevant to you specifically.
I think the physics of what you are implying have truth to them but it's kinda like this, just because one ball is 1lb and another is 5lb, it doesn't mean the heavier ball will be thrown harder. It depends on how strong you are. If you're super strong and can overcome the difficulty of the extra weight, then it will reward you more. But if you can't, it will only slow you down. So if you are strong and your technique is really clean, you can certainly benefit from a longer racket. But most, can't. Most people just aren't very good at tennis.
I think longer rackets are for those who are pretty bad or old or for those who are more advanced. You're old and want the reach, hit so slow it doesn't matter anyway. Or you are really fit and have great technique, you can afford to wield the extra length because your strength and technique more than make up for the extra difficulty of swinging it. Your arm can only move so fast anyway. If you can still reach the maximum speed your body is capable of in time to hit the ball, then the racket isn't really slowing you down. But if a racket's weight or something takes away from your maximum, then it might be holding you back in some way.
Plus, power isn't everything. Things like reach matter a lot.
I don't think I have much more to say about this but feel free to reply, curious what your thoughts are.