It seems highly likely to me that the UK Government don't know what they are talking about on a number of issues.
But the problem here is that their definition of gender is basically that it doesn't really say anything.
If I were to define the categories "A type people" and "B type people" and then say that A type people have the behaviours and attributes associated with A type people and B type people have the behaviours and attributes associated with B type people then you wouldn't know whether you were an A type person or a B type person.
But you also wouldn't know that you were neither A type nor B type or if you were somewhere in between because you would first have to know what those categories were.
My test for a definition of "gender" would be, "could I use this definition and be able to tell from it if I was a man or a woman or be able to tell if I was somewhere between being a man or a woman, or if I was neither a man nor a woman?"
Since I can't tell any of that from the definitions, then it is of no use.
I really don't understand what you're saying here.
Let's take things right out of the human experience for a moment, to try to make this easier to understand.
We'll consider lions. And we'll say that the (biological) males of the species are terms "lion", and the females of the species are named "lioness".
Now we'll introduce gender (in the context of gender identity). We will call one gender "lionish", and the other gender "lionessish".
Our starting point is that, in general, a lion has the lionish gender, and a lioness has the lionessish gender.
Now, in nature, the lionessish gender's main attribute is that they are the ones who do the hunting of prey, at night. They hunt and kill the prey, and then (if successful) they either drag their prey back to the pride or they summon the pride to the prey.
By contrast, in nature, the lionish gender's main attribute is that they remain with the pride while the lionessish gender hunt prey.
Now imagine that there is a lion who has gender identity issues: this lion feels strongly that their identity is such that they want to go out and hunt prey at night - in other words, they identify with the lionessish gender.
(This is obviously a simplified and simplistic analogy - for example, the gender attributes of these animals are of course much more complex and detailed. It's being used merely as an attempt to illustrate the concept of "gender vs sex" in a different way)