The main difference I see is that CrossFit is presented as a sport in and of itself, rather than a way to train for other sports. Your second point is not true

The main difference I see is that CrossFit is presented as a sport in and of itself, rather than a way to train for other sports. Your second point is not true if you follow the most basic guidelines for making sure you have good form and don't overtrain. It's the culture of competing against others to finish a set workout quickly that distinguishes crossfit, that both motivates people to train harder, makes people who like competition enjoy tough and normally dull workouts and also leads to bad form and overtraining.