This is explicitly false. If you conducted a scientific study of ANY topic where the participants got to choose which group they would be in, your study would be automatically disqualified for selection bias. If on top of that, you required one group of participants to complete a length application process, while the other group just ended up where they were by default, then the editors would laugh at you and reject your study in an instant.
Self-selected students are not the same student body as the rest of students, and I can absolutely assure you that every charter school operator full well knows this.
First off, it's false to claim they all do worse. There are plenty of kids who don't get chosen for the lottery who do go on to succeed anyway. High achievers will be high achievers regardless.
However, there are many that do worse in the public system....because through residential segregation, private schools, charter schools, and honors programs, you've pulled the vast majority of the high achievers out. And that's exactly the point I've been making to you this entire time. When you create systems that pull out most of the kids who are going to succeed, and leave the remainder in a depleted environment, then those low/mid achievers left in the depleted environment will do worse. That's the whole point.
Breh, I'll repeat to you again, I've worked with charters for over 20 years and if the things you claimed were a viable solution rather than buzzwords then they would have been implemented across the board decades ago. Of course we all agree that good teaching quality, good administration, meaningful institutional identity, and effective discipline are good for schools. No one denies that. But how do you achieve those things? Most charters achieve them by attracting the best talent and concentrating it in a narrow area. It does nothing to solve the larger issues, and in fact makes some of the larger issues worse because you're just draining the effective teachers/administrators from the other schools. But just saying "teach better, administrate better, discipline better, and get an identity" isn't a program for success or it would have already been successful.