Of course, dictionaries also recognize the value-judgement meaning of the word, as you would expect, because people do use this word to cast value judgements in everyday language. (1) https://www.merriam-webster.com/dictionary/normal (2) https://www.lexico.com/definition/normal

It’s hard to think of something which is more of a value judgement than the use of the word ‘normal’.

It happens to correspond to the statistical definition, and certainly that is the mathematical meaning, but in every domain outside of pure mathematics, it always implies a value judgement.

There are different meanings for a word "normal". The meaning could be just a statistical average, in some cases. But in any case when we say "normal" the receiving side of communication hears all meanings of a word "normal". Even if the receiving side managed to filter irrelevant meanings of the word "normal" correctly, nevertheless all filtered meanings were heard.

Moreover in this particular case it is not just about statistical averages, it is about social norms which were built around statistical averages. So a normality in this case it is also the rights to have social norms to be built with a respect to my needs.

Yeah, screw you left handed freaks! /s

but we stopped, for good reasons, describing straight couples as normal and the others as not normal.

Categorising a group of people as not normal has negative effects.