In my opinion the Confederate Jasmine is much, much more fragrant, and the heavenly fragrance is very obvious during the day as well as at night! With the Star Jasmine that I have in my yard, apparently the fragrance is only detected at night; I've never noticed even a hint of scent during the day.
My mother used to have an adverse reaction to the Confederate Jasmine; I remember when I was real young, she could never sleep with the windows open when the jasmine was in bloom because she said the scent was so overpowering that she couldn't breathe. I've had the same thing happen with some Hoya plants when I've had them indoors. The Hoya blooms attract night pollinators and the fragrance is really strong in the evening and at night. I remember a few years ago I had to move four hoya plants out to the back porch in the middle of the night because the fragrance was so overpowering ... beautiful fragrance but just too strong with so many blooms at once.