I just think it would feel horrible. I do remember many years ago visiting a friend and remarking, bearing in mind her children were quite young at the time, that they'd been a bit careless with their poster paints, there were quite a lot of red marks on the floor, to which she responded, her young female dog had just come into season. I have to admit I was a bit taken aback at that. The logistics of having to deal with a domestic female animal in season
quite impractical really. My periods, like many others, were quite heavy at times in my younger days, I can't imagine not wanting to wear some sort of sanitary protection the mind boggles, apart from the sheer discomfort, it's just not very practical.