Honestly, the huge gap between the quiver and my character's back is a serious immersion breaker (even worse than if there were no quiver at all). It's a constant annoyance. Given that there are mods that remove the helmet appearance, this seems like the sort of thing that would be possible.
I would like to see this done as well. It doesn't effect me a ton, however, since I rarely use bows on my current character. My next character on the other hand might use them a lot more.