I don't know if that's really true. He's a notorious liar. For example if a trans tourist visits the house, are there really unisex facillities available to them?
As far as making this house rule which is pure anti-trans showboating universal, that doesn't work because in most public places there are only sex segrated toilets. Do people really want a person who looks like a woman to use the mens and vice versa? REALLY?