It is quite possible, however, that the entire purpose WAS simply it was the law. I am not convinced it has ever had anything to do with reverence but simply that was the culture of the time. One reason veils, scarfs, hats, bonnets, etc were common (and in some areas of the world still are) was due to climate. Another was due to hygiene. Women didn’t wash their hair often and so it was kept clean and neat by covering it. Another reason was fashion. And yes, in some areas of the world and among some other denominations, women wore something to show their subordination to their father or husband. Others it is done for modesty. In Muslim countries women often only cover themselves in public because at home it is unnecessary under most circumstances. For modern catholic women, none of those reasons (aside from fashion perhaps) really apply. And so if those reasons are not present, church law is the only compelling reason. Once the law no longer applies, for most it is no longer necessary. We can all make our own private devotional practices and if you feel it is more reverent to have your head covered that is perfectly alright. I do wonder how the idea came into place in modern Catholic circles though. I find it fascinating and not at all wrong but I never heard that given as a reason until the last 5-10 years. I had heard some claim the law never actually changed and therefore we are all supposed to still cover our head.