Well Jackie looked quite nice in her lace mantillas:How does that qualify as a "head covering" when you can still see her hair? That's as far from the spirit of the tradition as those women in Russia who wear their head coverings with short skirts and bustiers.
Women covering their heads during worship is a two thousand year old tradition. Some of the other things saints said we should or should not do fell by the wayside, but head coverings existed universally throughout the Christian world for two thousand years before being jettisoned by some churches in the late twentieth century. Something that was used that long and that universally seems like it's more than just a "tradition of man." That's especially so when the first saint to recommend it was someone as important as St. Paul.
I don't condemn those who don't cover. But I do like my mantillas.
I'm not saying it's a tradition of men, I'm just saying that some traditions are sensitive to the time period in which they were given. Matthew 19:18 is an example of God giving a nonpermanent ordinance based on the human context. Permitting married men to become bishop is perhaps another.
Head covering was right and good in those times and cultures in which a woman who did not cover her head was automatically suspect, which was true for most of human history in Europe. That is not as true nowadays.