No you don't. Are you serious? I've seen too many bow quivers in use to count, but up to this point I've never seen a single person, or even heard of one, who has their bow quiver on so that the fletchings are pointing upwards. The lay of the feathers catching on brush and weeds while walking instead of sliding by them harmlessly, the hood too, feathers sticking up in the air when shooting, that all seems so obviously backwards to me. But hey, whatever floats your boat I guess. I'm a back quiver guy myself.