"claims to be transgender" is in my humble opinion so essential.
Of all of the the disgustingly bad journalistic practices that lead to massive real world harms, presenting claims as facts is the worst I think. And it is not just on this issue, it is on everything, not least our PM. If Boris Johnson says "I care about the poor and am bringing in policies to support the most vulnerable in society" then it needs to be reported that Boris Johnson, a proven liar, has claimed to care about the poor and had said - with no evidence to back it up - that he is bringing in policies to support the most vulnerable.
I genuinely believe that one of the big causes of really poor critical thinking skills is that when the unverifiable claims of people are reported they are not reported accurately - ie as unverifiable claims.