Looping back to the school where there was a child who apparently identified as a cat, even if it didn't happen (the newspaper reports get quite muddled on whether it did or didn't), what clearly did happen was the teacher conflating species belief with gender identity belief - and then going further and conflating a lack of belief in gender identity with homophobia. From an article which contains the original audio:
It begins with the teacher asking the pupil: 'How dare you? You just really upset someone, saying things like [you] should be in an asylum.'
The girl responds: 'I didn't say that, I just said if they want to identify as a cow or something, then they are genuinely unwell, and they're crazy.'
'You were questioning their identity,' the teacher replies. 'Where did you get this idea from that there are only two genders?'
'I just said my opinion,' the pupil replies. 'If I can respect their opinion, can't they respect mine?' The teacher goes on to assert there are 'lots of genders' including 'transgender' and 'agender'.
The teacher then links the girl's gender-critical attitude with 'homophobia', adding: 'It is not an opinion… if you don't like it, you need to go to a different school'.
Here is the article:
https://www.dailymail.co.uk/news/article-12212063/Teacher-stays-silent-gender-row-scolding-pupil-questioning-childs-claim-shes-cat.html
So at the very least, there is an example that we can all listen to with our own ears of a teacher forcing their personal belief (that everyone has a gender identity and that species identities are part of this) on to children in their class as if a) it is factually true and b) rejecting this belief is tantamount to homophobia.
When the rejection of this enforced belief is labelled as "culture wars" or "right wing", this demonstrates how concerned parents are being silenced and vilified as bigots.
So, even if this was just clickbait with no proof that a child at the school had identified as a cat (devil's advocate/benefit of the doubt), it is absolute proof that on at least this one occasion, children are being told that species identity is a part of gender identity. It therefore stands to reason (as @WoodforTrees says) that vulnerable children may go on to ask for tail surgery or similar when they reach adulthood, given there are already many examples of 18 year olds in the UK having their penises, testicles or breasts removed so that their body "aligns with" their perceived identity.