Have had now 3 kids thru Montessori and another starting next year. 2 of them did in New Zealand and younger 2 in HongKong. The kids have all excelled, want to rush to school every day, come home smiling. Can’t say anything like this of older kids experience of public or private( $$$) school system in either place.
My own experience is that Montessori puts the kids years ahead of age group peers and the learning benefits last into adulthood. My eldest earned a PhD in spite of learning challenges and the second eldest senior manager in a Govt department. #3 taught herself a 3rd language at age of 3. To many things to attribute just to home life and DNA.
Not familiar with other systems mentioned but I do see any environment where kids are respected and observed carefully seem to get similar and lasting results from their education.