The science of puberty blockers is clear to me: they prevent the unwanted development of secondary sex characteristics in adolescents and have a number of side effects that may or may not be tolerable for any particular individual.
What would you suggest is the proper treatment for trans children suffering gender dysphoria if they are denied puberty blockers and/or hormone replacement therapy? Do you think that forcing them to develop unwanted secondary sex characteristics is going to reduce their dysphoria? Do you think that you should be responsible for telling another a parent what they should or should not allow their child to do? By what criteria should you or the state be able to overrule a parent? Should a child be allowed any agency at all over their own body? And if not children, should adults?
I don't think that science can even begin to answer these questions and that it is a red herring to frame this debate in utilitarian scientific terms (e.g. science shows that puberty blockers don't statistically improve mental health and therefore should be banned). With this kind of science, we lose the unique individual human being which for me is the loss of everything that truly matters.