No, it doesnt. That is a misinterpretation, which has become amplified. 'Fake news' if you like
Government issued guidelines are now "Fake News" FFS There is no ID card, no doctor's letter, no statutory declaration needed to be protected under the EQ act under the "gender reassignment" protected characteristic. Ergo self ID
In fact the EQ act goes as far as its not even necessary for the individual to actually be trans for discrimination protections to be applied. Under the By Association clause its just enough for someone to think someone is or are associated with being trans.
That is again not the same as saying that a man can walk into a woman's space and claim to be trans and be immune to scrutiny and prosecution if appropriate.