I am sorry, but no, that's not coming from the conservative media.
See for example "sex assigned at birth" https://service-manual.nhs.uk/content/inclusive-content/sex-... as an example from a mainstream medical institution, the British National Health Service.
And transition is not "the cochlear implant", the implant would be "an implant that makes you not dysphoric". Transition is "learning how to live as a deaf person".