I don't know enough either. But for me this means I don't want not err on the side of unnecessarly making people go through psychological treatment or even medical procedures. That's what we have done to homosexuals and transgender people for decades and now most people agree that that was nonsense and actually pretty cruel. The affected themselves can choose to do any of these but they shouldn't be pressured and certainly not forced to do any of it.

But putting them in the minority group like if they were lgbtqia for exemple, is only going to harm minorities and allow more pedophiles to feel legitimate in their urges, and maybe act on it.

I don't think that's true. Firstly, and it's just a technicality, they are by definition a minority. But more importantly: Afaik they face a lot of the same challenges other minorities face. Fear of rejection in social groups, discrimination in the workplace, being forced to always be concious of hiding one aspect of yourself. Empathizing with that does not mean legitimating their urges, which is the main thing differentiating them from most other minorities. And I get that that makes it hard to empathize with them.

I also don't think socially outcasting peoples urges is as effective as people think. Just look at the scandals in the churches that have been uncovered in the last few years. It just means that people hide their urges, never learn how to really deal with them, and then turn into predators because of it.