They are worn for the same reason, but headscarves are not NEARLY as socially disruptive, which is why I said it was a huge difference. Not at all, actually. A woman in a burqua in the US would elicit stares, outrage, blatant curiosity, etc. In the workplace, that would very likely cause an issue. A headscarf might get a glance here or there, but it will be fleeting.
As for whether or not women like it - not joking at all here: One day i will visit a muslim country for diving....maybe it will be egypt, maybe it will be indonesia. Who knows. When I go, I fully plan to find a beautiful headscarf to wear, something with silk that is delicate and colorful. I will do it 1) to be respectful of local culture and not offend people with my rather stand out long strawberry blonde colored hair (I hate the idea of ever being seen as some crude westerner) and 2) because I think they can look absolutely lovely and I think women wearing them can look demure and beautiful.
Obvi not all headscarves are created equal, but there were a few muslim girls in my HS who wore them (with secular style of dress, except one who wore long skirts) and I always thought they looked mysterious. I'd wonder what their hair looked like and part of me found it sort of fascinating in a culture where the art of leaving something to the imagination has been lost by most, there were these girls that hid some of the most taken for granted aspects of their femininity. It almost made their femininity seem more precious.
My mother always teases me that the source of my power comes from my hair (like a certain bible story) and admittedly it's one of my standout features, and one of the few things I am consistently vain about lol. I guess it appeals to me because I've spent the last year working in a bikini half the time and brushing off boys-will-be-boys comments. I can understand, if I place myself in a much more modest world, the desire to protect women from those sort of encounters.
I dunno. Has nothing to do with the argument at hand...I just went off on a tangent because I really do kinda look forward to wearing one whenever I get around to visiting a conservative muslim country.