I'm really baffled that this thread has turned out this way and that some posters are so very blinkered that they can't see what's on the horizon here?
Agreed; this dad was looking out for the best solution for his daughters' toileting needs - he chose what was best/easiest for him. He was in the women's toilet for a specified reason, rightly or wrongly (it's wrongly btw) but nothing untoward happened.
What has happened though, by accepting him in the ladies toilets is that it gives a loud message to other men who may want to be in women's safe space for any reason they want. The shouting down of women who are thinking ahead to when their very young daughters are old enough to go into women's toilets, know what the likelihood is of a male predator being present is, because the floodgates are being opened when so much work has been done to close them and secure them for all women. It will not be so easy, or maybe not even possible, to close them again if we allow men into our safe spaces.
As a woman I want to know that men - at large - will not be in the ladies toilets. Male cleaners are regulated, they are employed and traceable. It is not the same thing at all and to compare random men with employees is futile.
We DO need better facilities to keep pace with parenting changes. Maybe tell the men in your lives to campaign for them; they're far more likely to be successful than we (women) would be.
Leaping onto the 'wonderful dad' scenario as the norm really isn't helpful - he may well be all things good but allowing him into women's safe spaces is a very obvious Trojan Horse and everybody - including 'wonderful dad', will be very sorry when our daughters, wives, whatever have their safe space eradicated by any man who chooses to take it, because he can.
TLDR: One man in, ALL men in.