Probably true I suppose.
Just from a personal point of view, I have no probs with everyone using the blokes if easier.
Never seen anyone hassled trans female wise as the perpetrator would be splattered pretty quick by other blokes.
I agree with LondonJohn that there needs to be some sensitive social negotiation over all this. That has not been the case recently. What has been happening is that transwomen (forget transmen, they have no political clout) have labelled themselves the most oppressed human beings in existence (which is pretty rich coming from a group that mainly seems to consist of white, middle-aged heterosexual men) and have therefore demanded that society should grant them whatever privileges they desire. To this end they have labelled anyone who disagrees with them as a bigot and a hater.
So far they seem to have been pretty successful in all this, but it can't last. Biology
is an essential attribute of life forms, and sex is an essential attribute of all higher life forms. In mammals, sex is fixed and immutable. People's needs and desires have to be accommodated within this reality.
If it is indeed the case that men are cruel and even violent to their trans-identifying brothers, this is a problem that needs to be tackled head-on. Forcing women to move aside from the single-sex provisions that protect them, and allow males to enter as of right, is not an answer, it is only the start of another set of problems.
Believing you are, or can become, the sex you are not, is a mental illness. There should be no stigma about being mentally ill, but this seems to be the only mental health condition where the sufferers have persuaded the medical profession that the way to treat the delusion is to affirm it and to assure the patient that their delusion is true. I don't think it's working.
Talking to people who transitioned MtF over 20 years ago, part of the transition was rigorous psychological therapy which grounded the patient in the reality that they were not female and even surgery wouldn't make them female. They were trained in how to behave around women, how not to make women uncomfortable, and to retreat immediately if it appeared that a woman was indeed uncomfortable in their presence. And they were absolutely forbidden from attempting to enter any female-only spaces until they were post-surgery.
They say this treatment is what has allowed them to live happily and productively for decades. They know who they are and they know who they are not, they know the limits of what is permissible, and both sides respect that. Now we have great hairy-arsed bearded blokes with a cock and balls insisting that they're really, biologically female and women need to suck it up because they're going to do what they like.
This is not sustainable. Men need to take responsibility for their trans-identifying brothers and create the space they need. And people with delusional disorders need appropriate psychotherapy enabling them to come to terms with their condition. Telling somone he really is Napoleon and putting him in charge of the French army is not gong to end well.