I'm not sure I would consider the implementation of the methods in today's fields of science to be "without tipping into anarchy", but credit is certainly due to the platonic ideal of the scientific methods themselves.

Science is a very carefully defined field that includes little or no controls on the behavior of its members, as long as the behaviors that are controlled appear to be adhered to. We've ended up with Retraction Watch, collusion between journal editors and paper publishers, and endemic #metoo issues throughout the field. I would never voluntarily enter a science field that depends on publishing papers for advancement today, because by definition these concerns are excluded from our current answers to 'what is required to science?'.

As to the scientific methods they often practice in service of those fields, yes, and it's admirable how well those have persisted. We also have a massive reproducibility crisis across all human psych and social fields, so while the theoretical methods do earn credit for not being "anarchy", their implementations clearly aren't being held to the standards that we're praising here today.