I don’t know where the idea of men’s toilets all being filthy stinking places filled with creepy perverts comes from
l can only speak from my own experience but I’ve never seen puddles of urine all over the floor ( sprinkles near urinals occasionally). I’ve never seen any creepy perverts; I’ve never seen a penis even.
If a toilet smells it has not been cleaned properly or often enough.
Most of those I’ve used have been odourless and reasonably clean, used by decent blokes as decently as possible. I’ve no hesitation in taking my young g/daughters into a gents toilet in the gym I go to, in supermarkets , shopping malls motorway cafes restaurants etc. I can see no reason whatever for a man to be in a ladies loo on the pretext of having a child with him.